Question

How do you factor `x^2=13x-7`?

Answer 1

`(x-13/2-sqrt141/2)(x-13/2+sqrt141/2)`

Explanation:

`"express in standard form"`

`x^2-13x+7=0`

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

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

`x=(13+-sqrt(169-28))/2`

`color(white)(x)=13/2+-sqrt141/2`

`rArrx^2-13x+7`

`=(x-13/2-sqrt141/2)(x-13/2+sqrt141/2)`