Question

Answer Question number 5

Answer 1

1, -8

Explanation:

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

Answer 2

Explanation:

`x^{(2)/(3)}+x^{(1)/(3)}-2=0\\\\x^{(2+1)/(3)}-2=0\\\\ x^{(3)/(3)}=2\\\\ x^(1)=2\\\\x=2`

Hint:

`x^(m)+x^(n)=x^(m+n)`