Решите уравнение x6 = – (12 – 8x)3

Решение:

x6 = – (12 – 8x)3
x6 = x2·3 = (x2) |   -a3 = (-a)3
(x2)3 = (– (12 – 8x))3
a3 = b3
a = b
x2 = – (12 – 8x)
x2 = – 12 + 8x
x
2 – 8x + 12 = 0
D = (-8)2 – 4·1·12 = 64 – 48 = 16 = 42

Ответ: 2;6.