Question

$(x-4)^{2}=(x-5)(x+2)$ даю 20 баллов

Answer 1

$(x-4)^2=(x-5)(x+2)\\x^2-8x+16=x^2+2x-5x-10\\x^2-8x+16=x^2-3x-10\\x^2-x^2-8x+3x=-10-16\\-5x=-26\\x=\frac{-26}{-5}\\x=5\frac{1}{5}$

Answer 2

Ответ:

$\boxed{\bold{x = \frac{26}{5} }}$

Объяснение:

$(x - 4)^{2} = (x - 5) (x + 2)$

$(x - 5) (x + 2) = (x - 4)^{2}$

$x^{2} - 3x - 10 = (x - 4)^{2}$

$5x-26=0$

$5x=26$

Ответ: $\boxed{\bold{x = \frac{26}{5} }}$