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  • ...math>, <math>(9,0)</math>, and <math>(a,b)</math>. Applying the [[distance formula]], we see that <math>\frac{ \sqrt{a^2 + b^2} }{ \sqrt{ (a-9)^2 + b^2 } } = ...e area is <math>\frac14\sqrt {(81^2 - 81x^2)(81x^2 - 1)}</math> by Heron's formula. By AM-GM, <math>\sqrt {(81^2 - 81x^2)(81x^2 - 1)}\le\frac {81^2 - 1}2</mat
    4 KB (703 words) - 22:13, 30 August 2024
  • {{Latex}} This article will detail how to work with math mode in LaTeX and how to display equations, formulas, and mathematical expressions in gen
    8 KB (1,319 words) - 08:03, 5 August 2024
  • Using the quadratic formula, we see that the start point of each of these overlapping segments will be ~ johnxyz1 (<math>\text\LaTeX \mathit{fixes}</math>)
    8 KB (1,307 words) - 16:05, 20 November 2024
  • ...\frac{7}{6}</math>. Now substitute <math>\frac{x}{y}=a</math>. Solving the quadratic in <math>a</math>, we get <math>a=\frac{x}{y}=\frac{2}{3}</math> or <math>\ Plugging into the quadratic formula and solving for <math>x</math> in terms of <math>y,</math> we have
    10 KB (1,751 words) - 21:21, 26 November 2023
  • ==Another way to get the quadratic== ...e are 3 rows we know it is a quadratic and we can continue, by finding the quadratic passing through <math>(10,10),(11,21),(12,33)</math> to get <math>\frac{(n^
    13 KB (2,039 words) - 08:52, 11 January 2025
  • ...ic must be a perfect square. (This can be easily shown using the quadratic formula.) ...onding value of the square root of the discriminant is <math>y</math>, the formula can be rewritten as <math>n = \frac{-85 \pm y}{2}</math>. One solution is <
    7 KB (1,096 words) - 09:04, 3 July 2024
  • ...{B} + \angle{C}} = \dfrac{4 \tan{C}}{1 - 3\tan^2{C}}</cmath> and solve the quadratic, taking the positive solution (C is acute) to get <math>\tan{C} = \frac{1}{ Latex edited by kc5170
    15 KB (2,225 words) - 17:49, 15 October 2024
  • Solution and <math>\LaTeX</math> by Sp3nc3r Therefore, by the Quadratic Formula, <math>r= 2 \pm \sqrt{3}</math>. Since <math> AB > BC</math>, <math>r = \bo
    4 KB (641 words) - 22:58, 3 June 2022
  • ...l equation of <math>3{n}^2+2n-261 = 0.</math> We solve using the quadratic formula to find that the solutions are <math>9</math> and <math>-29/3.</math> Becau ~<math>\LaTeX</math> fixed by Lamboreghini
    4 KB (673 words) - 20:54, 12 May 2024
  • ...gives us <math>f(n)=(k+1)^2-n+f((k+1)^2)=k^2+3k+2-n</math>. Note that this formula also returns the correct value when <math>n=(k+1)^2</math>, but not when <m .... Using this notation, we see that <math>f(n)=k+f(n+k)</math>, giving us a formula for the numerator of our ratio. However, since the function of <math>g(n)</
    16 KB (2,890 words) - 06:27, 29 December 2024
  • You can use the quadratic formula for this equation: <math>12x^2 - xy - 6y^2 = 0</math>; -LaTeX corrected by Andrew2019, though idk if this is what you wanted to say
    4 KB (740 words) - 16:05, 20 February 2025