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  • This method cannot be used to factor quadratics with complex or irrational roots.
    2 KB (368 words) - 17:13, 9 August 2024

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  • Another application will be to minimize/maximize quadratics. For example,
    3 KB (583 words) - 20:20, 2 August 2024
  • ...s at least as large as the number of distinct roots of that polynomial. In quadratics roots are more complex and can simply be the square root of a prime number.
    6 KB (1,100 words) - 14:57, 30 August 2024
  • ...math>x^2-3x+2=0</math> for <math>x</math>. Note: This is different for all quadratics; we cleverly chose this so that it has common factors. * [[Factoring Quadratics]]
    2 KB (264 words) - 11:04, 15 July 2021
  • To test that this actually works, consider the quadratics <math>x^2 + 8x + 16 = 0,\ x^2 + 16x + 64 = 0</math>.
    2 KB (322 words) - 01:57, 11 November 2024
  • ...we get <math>x^2-2x+1+\sqrt{2006}=0</math>. We know that the product of a quadratics roots is <math>\frac{c}{a}</math> which leaves us with <math>\frac{1+\sqrt{
    4 KB (686 words) - 11:52, 13 June 2024
  • ...ir of difference of squares first, and then distributing the two resulting quadratics and adding the constant, gives <math>\sqrt{n^4 - \frac{5}{2}n^2 + \frac{25}
    4 KB (523 words) - 23:12, 7 October 2021
  • ...les. In linear equations, the variables are never squared or cubed as in [[quadratics]] or [[cubics]]. The graph of a linear equation is always a straight line. ...les. In linear equations, the variables are never squared or cubed as in [[quadratics]] or [[cubics]]. The graph of a linear equation is always a straight line.
    5 KB (932 words) - 11:57, 26 July 2023
  • *** [[Quadratic | Quadratics]] *** [[Quadratic | Quadratics]]
    991 bytes (86 words) - 14:58, 24 August 2024
  • ...to write the polynomial in standard form, and is especially used to factor quadratics.
    1 KB (227 words) - 21:38, 6 October 2020
  • ...determined by three points, there can be <math>3*3*3 = 27</math> different quadratics <math>Q(x)</math> after each of the values of <math>Q(1)</math>, <math>Q(2) However, we have included <math>Q(x)</math> which are not quadratics: lines. Namely,
    5 KB (848 words) - 22:42, 29 September 2024
  • Using the rational roots theorem, we get the quadratics:
    1 KB (196 words) - 20:49, 4 December 2016
  • The two quadratics are <math>180^{\circ}</math> rotations of each other about <math>(50,0)</ma
    5 KB (862 words) - 01:04, 1 April 2024
  • '''Week 3''': Graphing quadratics '''Week 4''': Inequalities with quadratics and beyond
    1 KB (134 words) - 21:11, 17 January 2023
  • ...ic factors, let <math>x^2+ax+b</math> and <math>x^2+cx+d</math> be the two quadratics, so that
    2 KB (426 words) - 16:47, 29 June 2022
  • Notice how the coefficient for <math>x</math> has to be the same for the two quadratics that are multiplied to create <math>P(Q(x))</math>, and <math>Q(P(x))</math
    6 KB (1,137 words) - 16:29, 30 June 2024
  • ...antity simplifies to <math>a^2+c^2</math>, the <math>ac</math> term of the quadratics after squaring gets canceled by adding up the squares of the two equations
    2 KB (391 words) - 18:02, 14 October 2023
  • Note the quadratics, and more implortantly, the <math>-1</math>. The 1 is one end of a very wel
    8 KB (1,351 words) - 19:30, 10 July 2016
  • ...have to be considered because squaring the equation gives a quadratic, and quadratics either have only imaginary or only real roots.
    2 KB (343 words) - 23:57, 11 October 2020
  • ==Solution 3 (Operation Quadratics)==
    4 KB (674 words) - 19:07, 24 January 2021
  • It is used to solve, [[graph]] and [[optimization|optimize]] quadratics.
    304 bytes (52 words) - 16:40, 17 July 2024

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