X ^6 − 28x ^3 + 27 = 0

Question

X
^6 − 28x
^3 + 27 = 0

Answer 1

Сделаем замену t = x^3
t^2 - 28t + 27 = 0
D = 784 - 108 = 676 корень(676) = 26
t1 = (28+26)/2 = 27
t2 = (28-26)/2 = 1
x^3 = 1  x1= 1
x^3 = 27 x2 = 3