How do you factor $x^{2} = 13 x - 7$ $x^2=13x-7$ ?

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How do you factor $x^{2} = 13 x - 7$ $x^2=13x-7$ ?

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Answer 1 · 2017-12-04T13:46:27

$(x - \frac{13}{2} - \frac{\sqrt{141}}{2}) (x - \frac{13}{2} + \frac{\sqrt{141}}{2})$ $(x-13/2-sqrt141/2)(x-13/2+sqrt141/2)$

Explanation:

$express in standard form$ $"express in standard form"$

$x^{2} - 13 x + 7 = 0$ $x^2-13x+7=0$

$use the quadratic formula$ $"use the "color(blue)"quadratic formula"$

$with a = 1, b = - 13 and c = 7$ $"with "a=1,b=-13" and "c=7$

$x = \frac{13 \pm \sqrt{169 - 28}}{2}$ $x=(13+-sqrt(169-28))/2$

$x = \frac{13}{2} \pm \frac{\sqrt{141}}{2}$ $color(white)(x)=13/2+-sqrt141/2$

$\Rightarrow x^{2} - 13 x + 7$ $rArrx^2-13x+7$

$= (x - \frac{13}{2} - \frac{\sqrt{141}}{2}) (x - \frac{13}{2} + \frac{\sqrt{141}}{2})$ $=(x-13/2-sqrt141/2)(x-13/2+sqrt141/2)$

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How do you factor $x^{2} = 13 x - 7$ $x^2=13x-7$ ?

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How do you factor $x^{2} = 13 x - 7$ $x^2=13x-7$ ?