Ответ
корень 5 степ. из (128x^2) = 24 + корень 5 степ. из (64х)
(128x^2)^(1/5) = 24 + (64x)^(1/5)
128^(1/5) * x^(2/5) = 24 + 64^(1/5) * x^(1/5)
(2^7)^(1/5) * x^(2/5) = 24 + (2^6)^(1/5) * x^(1/5)
2^(5/5) * 2^(2/5) * x^(2/5) = 24 + (2^5/5) * 2^(1/5) * x^(1/5)
2 * (2x)^(2/5) - 2 * (2x)^(1/5) - 24 = 0
(2x)^(2/5) - (2x)^(1/5) - 12 = 0
(2x)^(1/5) = t
t^2 - t - 12 = 0
t1 = 4 => (2x)^(1/5 )= 4 => 2x = 4^5 = 1024 => x = 1024/2 = 512
t2 = -3 => (2x)^(1/5) = -3 => 2x = (-3)^5 = -243 => x =-243/2 = -121.5