Question

Решите уравнение, плиз:

Answer 1

х²+(-х)^(1/3)-2=0

(-x)^1/3=t
-x=t³
x=(-t)³
x²=(-t)^6
(-t)^6+t-2=0
t^6+t-2=0
t^6-1+t-1=0
(t²-1)(t⁴+t²+1)+(t-1)=0
((t-1)((t+1)(t⁴+t²+1)+1)=0

1)t-1=0;t=1
(-x)^1/3=1
-x=1
x=-1
2)(t+1)(t⁴+t²+1)+1=0
t^5+t³+t+t⁴+t²+1+1=0
t^5+t⁴+t²+t+2=0