Question

Решите уравнение:
(x^2+8x)^7 = (3x-6)^7

Answer 1

$(x^2+8x)^7 = (3x-6)^7 \\ x^2+8x= 3x-6 \\ {x}^{2} + 8x - 3x + 6 = 0 \\ {x}^{2} + 5x + 6 = 0 \\ \\ x_{1} + x_{2} = - 5 \\ x_{1} \times x_{2} = 6 \\ x_{1} = - 3 \\ x_{2} = - 2$
ответ: (-3; -2)