Question

Срочно очень надо,помогите!!!!!!

Реши уравнение 25x+25−x³−x²=0.

x₁=
;x₂=
;x₃=
.

Answer 1

$25x + 25 - x {}^{3} - x {}^{2} = 0 \\ 25(x + 1) - x {}^{2} (x + 1) = 0 \\ (x + 1)(25 - x {}^{2} ) = 0 \\ (x + 1)(5 - x)(5 + x) = 0$

1)

$x + 1 = 0 \\ x = - 1$

2)

$5 - x = 0 \\ - x = - 5 \\ x = 5$

3)

$5 + x = 0 \\ x = - 5$

ответ:

$x1 = - 5 \\ x2 = - 1 \\ x3 = 5$