Question

решите уравнение x^2-2x=4x-8​

Answer 1

Решение и ответ:

$\displaystyle {x^2}-2x=4x-8$

$\displaystyle x(x-2)=4(x-2)$

$\displaystyle x(x-2)-4(x-2)=0$

$\displaystyle \left({x-4}\right)(x-2)=0$

$\displaystyle x-4=0$

$\displaystyle \boxed{{x_1}=4}$

$\displaystyle x-2=0$

$\displaystyle \boxed{{x_2}=2}$