Answer:
Step-by-step explanation:
[tex]x^{\frac{2}{3}}+x^{\frac{1}{3}}-2=0\\\\x^{\frac{2+1}{3}}-2=0\\\\ x^{\frac{3}{3}}=2\\\\ x^{1}=2\\\\x=2[/tex]
Hint:
[tex]x^{m}+x^{n}=x^{m+n}[/tex]
1, -8
x^⅔ + x^⅓ - 2 = 0
let y = x^⅓
y² + y - 2 = 0
y² + 2y - y - 2 = 0
y(y + 2) - (y + 2) = 0
(y + 2)(y - 1) = 0
y = 1, -2
x^⅓ = 1
x = 1³ = 1
x^⅓ = -2
x = (-2)³ = -8
