[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"tool-content:en:quadratic-formula-calculator":3,"glossary:en":56,"published-tools-en":105},{"id":4,"documentId":5,"slug":6,"intro":7,"howTo":8,"longContent":9,"createdAt":10,"updatedAt":11,"publishedAt":12,"locale":13,"name":14,"faq":15,"examples":40,"category":41,"seo":50,"localizations":55,"metaTitle":52,"metaDescription":53},333,"hjnsokctxqnde8rimoq2pexf","quadratic-formula-calculator","\u003Cp>The discriminant \u003Cstrong>Δ = b² − 4ac\u003C\u002Fstrong> settles the shape of the answer before a single root is worked out. A positive Δ gives \u003Cstrong>two distinct real roots\u003C\u002Fstrong>; zero gives \u003Cstrong>one repeated root\u003C\u002Fstrong>; a negative Δ gives \u003Cstrong>two complex conjugate roots\u003C\u002Fstrong>. This \u003Cstrong>quadratic formula calculator\u003C\u002Fstrong> shows Δ first with that verdict spelled out, then the formula with the coefficients substituted, the roots, the \u003Cstrong>vertex\u003C\u002Fstrong>, the \u003Cstrong>axis of symmetry\u003C\u002Fstrong> and a \u003Cstrong>factored form\u003C\u002Fstrong> whenever whole-number brackets exist.\u003C\u002Fp>","\u003Col>\u003Cli>Rearrange the equation into ax² + bx + c = 0, moving every term to one side, then type the three coefficients. An absent term goes in as 0, so x² − 3x = 0 becomes a = 1, b = −3, c = 0.\u003C\u002Fli>\u003Cli>Read the discriminant panel before anything else. Its verdict line says whether two real roots, one repeated root or a complex pair are coming. The calculator also refuses a = 0 outright, since bx + c = 0 is a linear equation.\u003C\u002Fli>\u003Cli>Follow the working underneath, where Δ = b² − 4ac and x = (−b ± √Δ) \u002F 2a appear with the coefficients substituted, then simplified, before the roots themselves.\u003C\u002Fli>\u003Cli>Use the vertex, the axis of symmetry and the factored form lower down to sketch the parabola or to check the answer. The factored form stays empty when the roots are irrational or complex.\u003C\u002Fli>\u003C\u002Fol>","\u003Ch2 id=\"how-to-calculate\">How is the quadratic formula calculated step by step?\u003C\u002Fh2>\n\u003Cp>One expression solves any equation that can be written \u003Cstrong>ax² + bx + c = 0\u003C\u002Fstrong>, namely \u003Cstrong>x = (−b ± √Δ) \u002F 2a\u003C\u002Fstrong>, where Δ is the discriminant \u003Cstrong>b² − 4ac\u003C\u002Fstrong>. The three coefficients sit in the equation itself, so \u003Cstrong>x² − 3x + 2 = 0\u003C\u002Fstrong> gives a = 1, b = −3 and c = 2.\u003C\u002Fp>\n\u003Cp>Take that same equation as a worked example: Δ = (−3)² − 4 × 1 × 2, which is 9 − 8, so \u003Cstrong>Δ = 1\u003C\u002Fstrong>. Its square root is 1, the numerator becomes 3 ± 1 and the denominator is 2 × 1 = 2. The ± then splits that fraction in two, giving \u003Cstrong>x₁ = 2\u003C\u002Fstrong> and \u003Cstrong>x₂ = 1\u003C\u002Fstrong>.\u003C\u002Fp>\n\u003Cp>An absent term has a coefficient of 0, so \u003Cstrong>x² − 3x = 0\u003C\u002Fstrong> goes in as a = 1, b = −3, c = 0. Anything sitting on the right of the equals sign moves across first, since the formula only works on the standard form with 0 on one side.\u003C\u002Fp>\n\u003Ch2 id=\"discriminant\">What does the discriminant tell you about the roots?\u003C\u002Fh2>\n\u003Cp>Δ settles the question on its own, well before any division has been done, so the calculator puts it at the top of the results. A \u003Cstrong>positive Δ\u003C\u002Fstrong> means √Δ is a real number and the ± pulls the numerator apart into two different values, so the parabola cuts the x-axis twice. A \u003Cstrong>Δ of exactly zero\u003C\u002Fstrong> makes √Δ = 0, so both branches of the ± land on the same value while the curve only touches the axis at its vertex.\u003C\u002Fp>\n\u003Cp>A \u003Cstrong>negative Δ\u003C\u002Fstrong> has no real square root at all, which is why the two answers arrive as a conjugate pair such as −1 + 2i and −1 − 2i. The parabola then stays clear of the axis without ever touching it. That sign check also catches typos, since a textbook exercise that turns complex out of nowhere usually means a minus went missing in b or c.\u003C\u002Fp>\n\u003Ctable>\n\u003Cthead>\u003Ctr>\u003Cth scope=\"col\">Discriminant\u003C\u002Fth>\u003Cth scope=\"col\">Roots\u003C\u002Fth>\u003Cth scope=\"col\">Parabola\u003C\u002Fth>\u003Cth scope=\"col\">Example\u003C\u002Fth>\u003Cth scope=\"col\">Result\u003C\u002Fth>\u003C\u002Ftr>\u003C\u002Fthead>\n\u003Ctbody>\n\u003Ctr>\u003Cth scope=\"row\">Δ > 0\u003C\u002Fth>\u003Ctd>Two distinct real roots\u003C\u002Ftd>\u003Ctd>Crosses the x-axis twice\u003C\u002Ftd>\u003Ctd>x² − 3x + 2 = 0 (Δ = 1)\u003C\u002Ftd>\u003Ctd>x = 2 and x = 1\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Cth scope=\"row\">Δ = 0\u003C\u002Fth>\u003Ctd>One repeated real root\u003C\u002Ftd>\u003Ctd>Touches the x-axis at the vertex\u003C\u002Ftd>\u003Ctd>x² − 2x + 1 = 0 (Δ = 0)\u003C\u002Ftd>\u003Ctd>x = 1, multiplicity 2\u003C\u002Ftd>\u003C\u002Ftr>\n\u003Ctr>\u003Cth scope=\"row\">Δ < 0\u003C\u002Fth>\u003Ctd>Two complex conjugate roots\u003C\u002Ftd>\u003Ctd>Never crosses the x-axis\u003C\u002Ftd>\u003Ctd>x² + 2x + 5 = 0 (Δ = −16)\u003C\u002Ftd>\u003Ctd>x = −1 + 2i and x = −1 − 2i\u003C\u002Ftd>\u003C\u002Ftr>\n\u003C\u002Ftbody>\n\u003C\u002Ftable>\n\u003Ch2 id=\"a-not-zero\">Why can a not be zero in a quadratic equation?\u003C\u002Fh2>\n\u003Cp>Setting \u003Cstrong>a = 0\u003C\u002Fstrong> wipes out the x² term. What remains is no longer an equation of the second degree: \u003Cstrong>bx + c = 0\u003C\u002Fstrong> is linear, with a single solution at \u003Cstrong>x = −c\u002Fb\u003C\u002Fstrong> that needs no discriminant at all. The quadratic formula would divide that equation by \u003Cstrong>2a = 0\u003C\u002Fstrong>, so the calculator blocks the entry and names the reason rather than returning an infinity.\u003C\u002Fp>\n\u003Cp>Zeros in the other two boxes are legal, since those terms drop out of the equation. Setting b = 0 leaves ax² + c = 0, as in x² − 2 = 0; setting c = 0 leaves ax² + bx = 0, as in x² − 3x = 0 whose roots are 3 and 0.\u003C\u002Fp>\n\u003Ch2 id=\"factored-form\">When does a quadratic formula calculator show a factored form?\u003C\u002Fh2>\n\u003Cp>A factored form only appears when the brackets are exact, which takes two conditions at once, whole numbers in a, b and c plus a \u003Cstrong>discriminant that is a perfect square\u003C\u002Fstrong> such as 1, 4, 9 or 16. Rounded factors would look convincing while multiplying back to the wrong equation, so the tool prints no approximation.\u003C\u002Fp>\n\u003Cp>Both conditions hold for 2x² − 3x + 1 = 0, where Δ = 1 and the leading coefficient moves into the first bracket as \u003Cstrong>(2x - 1)(x - 1)\u003C\u002Fstrong>. A root of zero drops a bracket, which turns x² − 3x = 0 into \u003Cstrong>x(x - 3)\u003C\u002Fstrong>. A repeated root becomes a square with the leading coefficient in front, so 2x² − 4x + 2 = 0 comes back as \u003Cstrong>2(x - 1)²\u003C\u002Fstrong>, while a negative a keeps its sign outside the brackets, as with −x² + 3x − 2 = 0 giving \u003Cstrong>-(x - 1)(x - 2)\u003C\u002Fstrong>.\u003C\u002Fp>\n\u003Cp>The factored form stays empty for x² − 2 = 0, where Δ = 8 and the roots come out at ±1.41421356, shown to eight decimals and ready to be \u003Ca href=\"\u002Fmath\u002Frounding-calculator\">rounded\u003C\u002Fa> to whatever precision an exercise asks for. The square root of 8 is irrational, so no pair of whole-number brackets multiplies back to that equation. Complex roots stay unfactored for the same reason.\u003C\u002Fp>\n\u003Ch2 id=\"checks\">How can the roots be checked without redoing the formula?\u003C\u002Fh2>\n\u003Cp>Two identities catch a slip faster than a second pass through the whole calculation. The \u003Cstrong>sum of the roots equals −b\u002Fa\u003C\u002Fstrong> and the \u003Cstrong>product equals c\u002Fa\u003C\u002Fstrong>, so x² − 3x + 2 = 0 should give a sum of 3 and a product of 2. Its roots, 2 and 1, add to 3 and multiply to 2.\u003C\u002Fp>\n\u003Cp>The vertex gives the other check. It sits at \u003Cstrong>x = −b\u002F2a\u003C\u002Fstrong>, which doubles as the axis of symmetry, with the two roots the same distance on either side of it. For x² − 3x + 2 = 0 the vertex lands at \u003Cstrong>(1.5, −0.25)\u003C\u002Fstrong>, exactly halfway between 1 and 2. That negative height on a parabola opening upward confirms two real roots.\u003C\u002Fp>","2026-08-06T07:18:55.281Z","2026-08-23T10:00:02.558Z","2026-08-23T10:00:00.000Z","en","Quadratic Formula Calculator",[16,20,24,28,32,36],{"id":17,"question":18,"answer":19},2350,"How to calculate a quadratic formula?","\u003Cp>Put the equation in the form \u003Cstrong>ax² + bx + c = 0\u003C\u002Fstrong>, then work through three stages.\u003C\u002Fp>\u003Col>\u003Cli>Compute the discriminant \u003Cstrong>Δ = b² − 4ac\u003C\u002Fstrong>. For x² − 3x + 2 = 0 that gives (−3)² − 4 × 1 × 2 = \u003Cstrong>1\u003C\u002Fstrong>.\u003C\u002Fli>\u003Cli>Take its square root, here √1 = 1, then build the numerator \u003Cstrong>−b ± √Δ\u003C\u002Fstrong>, which comes to 3 ± 1.\u003C\u002Fli>\u003Cli>Divide by \u003Cstrong>2a\u003C\u002Fstrong>, so 4\u002F2 and 2\u002F2 give the roots \u003Cstrong>x = 2\u003C\u002Fstrong> and \u003Cstrong>x = 1\u003C\u002Fstrong>.\u003C\u002Fli>\u003C\u002Fol>\u003Cp>Checking the sum of the roots against \u003Cstrong>−b\u002Fa\u003C\u002Fstrong> and their product against \u003Cstrong>c\u002Fa\u003C\u002Fstrong> catches an arithmetic slip in a couple of seconds.\u003C\u002Fp>",{"id":21,"question":22,"answer":23},2351,"How do I do the quadratic formula on my calculator?","\u003Cp>Scientific calculators rarely carry a button marked with the formula. On most models the feature hides in an \u003Cstrong>equation or polynomial mode\u003C\u002Fstrong>, reached through a MODE or MENU key, where the degree is set to \u003Cstrong>2\u003C\u002Fstrong> and a, b and c go in one after the other. Casio fx models label it EQN or Polynomial; several TI models keep it in a solver app rather than on the main keypad.\u003C\u002Fp>\u003Cp>Many models return an error or a no-real-root message when \u003Cstrong>Δ is negative\u003C\u002Fstrong>, unless a complex mode is switched on. Almost none display the discriminant itself, so working out \u003Cstrong>b² − 4ac\u003C\u002Fstrong> by hand tells you what the screen should show.\u003C\u002Fp>",{"id":25,"question":26,"answer":27},2352,"What is the quadratic formula for dummies?","\u003Cp>A quadratic equation asks which value of x makes \u003Cstrong>ax² + bx + c\u003C\u002Fstrong> equal zero. Drawn on paper, that expression traces a U-shaped curve whose crossings of the horizontal axis are the answers.\u003C\u002Fp>\u003Cp>The formula \u003Cstrong>x = (−b ± √Δ) \u002F 2a\u003C\u002Fstrong> finds those crossings without drawing anything. Δ = b² − 4ac comes first because it counts them for you: \u003Cstrong>two\u003C\u002Fstrong> crossings when Δ is positive, \u003Cstrong>one\u003C\u002Fstrong> when Δ is zero, \u003Cstrong>none\u003C\u002Fstrong> when Δ is negative. The ± means the sum and the difference both get worked out, which is where the two answers come from.\u003C\u002Fp>",{"id":29,"question":30,"answer":31},2353,"What is the easiest way to solve a quadratic equation?","\u003Cp>Trying to factor first is quicker whenever it works. \u003Cstrong>x² − 3x + 2 = 0\u003C\u002Fstrong> needs two numbers that multiply to 2 and add to −3, which are −1 and −2, giving \u003Cstrong>(x - 1)(x - 2) = 0\u003C\u002Fstrong> and roots of 1 and 2 in a few seconds.\u003C\u002Fp>\u003Cp>Factoring only works on tidy numbers, so a glance at \u003Cstrong>Δ = b² − 4ac\u003C\u002Fstrong> saves wasted effort. With whole-number coefficients, a perfect square such as 1, 4, 9 or 16 means the factors exist; anything else makes the formula quicker. Completing the square is the third option, useful mainly when the vertex form \u003Cstrong>y = a(x − h)² + k\u003C\u002Fstrong> is what is wanted. This page prints that form as well, so x² − 3x + 2 = 0 comes back as \u003Cstrong>y = (x − 1.5)² − 0.25\u003C\u002Fstrong>.\u003C\u002Fp>",{"id":33,"question":34,"answer":35},2354,"Why does the calculator say a cannot be 0?","\u003Cp>The coefficient a is what makes an equation quadratic. With \u003Cstrong>a = 0\u003C\u002Fstrong> the x² term vanishes and only \u003Cstrong>bx + c = 0\u003C\u002Fstrong> is left, a linear equation with one solution at \u003Cstrong>x = −c\u002Fb\u003C\u002Fstrong>. Feeding that to the quadratic formula would divide by \u003Cstrong>2a = 0\u003C\u002Fstrong>, so the tool stops with an explicit message instead of an error value.\u003C\u002Fp>\u003Cp>Zeros elsewhere are fine. \u003Cstrong>b = 0\u003C\u002Fstrong> covers equations like x² − 2 = 0; \u003Cstrong>c = 0\u003C\u002Fstrong> covers x² − 3x = 0. The calculator handles both normally.\u003C\u002Fp>",{"id":37,"question":38,"answer":39},2355,"Can this calculator factor a quadratic equation?","\u003Cp>It shows the factored form whenever that form is exact, which needs whole-number coefficients and a discriminant that is a perfect square. \u003Cstrong>2x² − 3x + 1 = 0\u003C\u002Fstrong> comes back as \u003Cstrong>(2x - 1)(x - 1)\u003C\u002Fstrong>, \u003Cstrong>x² − 3x = 0\u003C\u002Fstrong> as \u003Cstrong>x(x - 3)\u003C\u002Fstrong> and \u003Cstrong>2x² − 4x + 2 = 0\u003C\u002Fstrong> as \u003Cstrong>2(x - 1)²\u003C\u002Fstrong>. A negative leading coefficient keeps its sign in front, so −x² + 3x − 2 = 0 becomes \u003Cstrong>-(x - 1)(x - 2)\u003C\u002Fstrong>.\u003C\u002Fp>\u003Cp>Irrational or complex roots leave that panel blank on purpose. \u003Cstrong>x² − 2 = 0\u003C\u002Fstrong> has Δ = 8 with roots of ±1.41421356. No integer brackets reproduce it, so a rounded factorization would multiply back to the wrong equation.\u003C\u002Fp>",[],{"id":42,"documentId":43,"uid":44,"name":45,"tagline":46,"hubContent":47,"createdAt":48,"updatedAt":48,"publishedAt":49,"locale":13},15,"s8cujbpmiszotf6zdbotc2p0","math","Math","Calculators for school, work and everyday numbers","\u003Cp>Every calculator in this category computes live as you type and shows the formula behind the result. Grades, percentages, fractions, ratios or volumes: you see the answer and the reasoning, so you can trust the number you copy. Each tool also documents its edge cases, because a calculator you cannot verify is just a guess with confidence.\u003C\u002Fp>","2026-07-17T11:46:54.883Z","2026-07-17T12:01:48.544Z",{"id":51,"metaTitle":52,"metaDescription":53,"keywords":54,"metaRobots":54,"structuredData":54,"metaViewport":54,"canonicalURL":54},564,"Quadratic Formula Calculator: Discriminant and Roots","Free quadratic formula calculator that starts from the discriminant Δ = b² − 4ac, then gives the roots, the vertex and the factored form when it is exact.",null,[],[57,69,81,93],{"id":58,"documentId":59,"slug":60,"term":61,"definition":62,"relatedTools":63,"createdAt":66,"updatedAt":67,"publishedAt":68,"locale":13},17,"o1ljpluv6app6z9rrhst4gfn","cubic-yard","Cubic yard","\u003Cp>A \u003Cstrong>cubic yard\u003C\u002Fstrong> is the volume of a cube measuring 3 x 3 x 3 feet, which equals 27 cubic feet or about \u003Cstrong>0.7646 m³\u003C\u002Fstrong>. It is the standard unit for ordering bulk materials in the United States: ready-mix concrete, topsoil, gravel, sand and mulch are all priced and delivered by the cubic yard, often shortened to \"yard\" on a quote.\u003C\u002Fp>\u003Cp>For scale, a typical 12 x 10 ft patio slab poured 4 inches thick contains 40 cubic feet, which is 40 \u002F 27 = 1.48 cubic yards of concrete. A standard ready-mix truck carries 8 to 10 cubic yards, so that whole slab uses less than a fifth of one load.\u003C\u002Fp>\u003Cp>How big is a cubic yard in practice? The cube stands 3 feet on each side, roughly counter height, and holds about 14 full wheelbarrow loads of material. Spread out, one cubic yard covers close to 100 square feet at a depth of 3 inches, the usual layer for mulch or a gravel path.\u003C\u002Fp>",[64,65],"math\u002Fconcrete-calculator","math\u002Fvolume-calculator","2026-07-18T14:23:56.812Z","2026-08-02T10:00:01.228Z","2026-08-02T10:00:00.000Z",{"id":70,"documentId":71,"slug":72,"term":73,"definition":74,"relatedTools":75,"createdAt":78,"updatedAt":79,"publishedAt":80,"locale":13},16,"mdw0ypy9f3z1nioxaxnl9rvr","password-entropy","Entropy (passwords)","\u003Cp>\u003Cstrong>Entropy\u003C\u002Fstrong> measures how unpredictable a password is, expressed in bits. Each additional bit doubles the number of guesses an attacker needs. For a randomly generated password, it follows a simple formula: entropy = length × log2 of the alphabet size, so both the length and the variety of characters raise the score.\u003C\u002Fp>\u003Cp>A random 16-character password drawn from the 94 printable ASCII symbols reaches 16 × log2(94), about \u003Cstrong>105 bits\u003C\u002Fstrong>. At 10 billion guesses per second, exhausting that space would take on the order of 10^14 years, while a 6-character password from the same alphabet peaks at 39 bits and falls in about a minute.\u003C\u002Fp>\u003Cp>Written as a formula, \u003Cstrong>E = L × log2(N)\u003C\u002Fstrong>: the entropy equals the length L multiplied by the base-2 logarithm of N, the number of possible symbols per character. Current guidance treats 75 to 80 bits as the comfortable minimum for accounts that matter, a level a random 12-character password mixing all character types already clears.\u003C\u002Fp>",[76,77],"generator\u002Fpassword-generator","generator\u002Fusername-generator","2026-07-18T14:23:55.755Z","2026-08-01T10:00:01.360Z","2026-08-01T10:00:00.000Z",{"id":42,"documentId":82,"slug":83,"term":84,"definition":85,"relatedTools":86,"createdAt":90,"updatedAt":91,"publishedAt":92,"locale":13},"ypkfs6wnfljm03ge2b1ztiwv","percentage-point","Percentage point","\u003Cp>A \u003Cstrong>percentage point\u003C\u002Fstrong> is the unit used to express the arithmetic difference between two percentages. It compares rates by subtraction, while \"percent\" compares them by division: the two measures answer different questions and can differ wildly for the same change.\u003C\u002Fp>\u003Cp>Example: an interest rate that moves from 5% to 7% rises by \u003Cstrong>2 percentage points\u003C\u002Fstrong> (7 - 5 = 2), but by 40 percent in relative terms (2 ÷ 5 × 100 = 40). Saying \"the rate went up 2%\" would be wrong on both counts: the correct phrasings are \"up 2 points\" or \"up 40%\".\u003C\u002Fp>\u003Cp>The standard abbreviation is \u003Cstrong>pp\u003C\u002Fstrong>, sometimes just \"points\", as in \"unemployment fell by 0.5 pp\". Confusing percent with percentage points remains the classic trap: a party moving from 20% to 30% in the polls gains 10 percentage points, yet grows by 50 percent, and headlines regularly pick the wrong figure.\u003C\u002Fp>",[87,88,89],"math\u002Fpercentage-calculator","math\u002Faverage-calculator","finance\u002Fcalcul-remise","2026-07-18T14:23:54.573Z","2026-07-31T10:00:01.940Z","2026-07-31T10:00:00.000Z",{"id":94,"documentId":95,"slug":96,"term":97,"definition":98,"relatedTools":99,"createdAt":102,"updatedAt":103,"publishedAt":104,"locale":13},14,"g3okb797ekrz0kkpm36mfjwc","weighted-average","Weighted average","\u003Cp>A \u003Cstrong>weighted average\u003C\u002Fstrong> is an average where each value counts in proportion to an assigned importance, called its weight, instead of counting equally. Each value is multiplied by its weight, the products are added, and the sum is divided by the total of the weights. Class grades, GPAs, and stock indexes are all weighted averages.\u003C\u002Fp>\u003Cp>Example: scores of 92, 85, and 88 with weights of 30, 30, and 40 give (92 x 30 + 85 x 30 + 88 x 40) \u002F 100 = \u003Cstrong>88.3\u003C\u002Fstrong>. The plain average of the same scores is 88.33, but if the heaviest score dropped to 78, the weighted average would fall to 84.3 while the plain average only fell to 85.\u003C\u002Fp>\u003Cp>The weighted average formula in plain words: multiply each value by its weight, add up the products, then divide by the sum of the weights. In a spreadsheet the whole calculation fits in one cell, since Excel's SUMPRODUCT function multiplies and adds in a single pass: SUMPRODUCT of the values and weights, divided by SUM of the weights.\u003C\u002Fp>",[88,100,101],"math\u002Fgrade-calculator","math\u002Fgpa-calculator","2026-07-18T14:23:53.329Z","2026-07-30T10:00:01.216Z","2026-07-30T10:00:00.000Z",{"slugs":106},[107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,6,155,156,157,158,159,160,161],"age-calculator","average-calculator","cd-calculator","concrete-calculator","cursive-font-generator","date-calculator","fantasy-name-generator","final-grade-calculator","fraction-calculator","glitch-text-generator","gpa-calculator","grade-calculator","hex-converter","hours-calculator","interest-calculator","military-time-converter","roman-numeral-converter","password-generator","binary-converter","celsius-to-fahrenheit-converter","kg-to-lbs-converter","percentage-calculator","word-counter","tip-calculator","morse-code-translator","username-generator","ratio-calculator","sales-tax-calculator","small-text-generator","mm-to-inches-converter","volume-calculator","timer","square-footage-calculator","stair-calculator","roof-pitch-calculator","board-foot-calculator","aspect-ratio-calculator","rounding-calculator","random-letter-generator","mulch-calculator","fence-calculator","upside-down-text-generator","acreage-calculator","gravel-calculator","proportion-calculator","paint-calculator","tile-calculator","braille-translator","gcf-calculator","probability-calculator","hex-to-rgb-converter","uuid-generator","standard-deviation-calculator","lcm-calculator","caesar-cipher"]