Question

6X^(2/3)-5X^(1/3)-6=0

Answer 1

let y = x^(1/3)

then your equation becomes
6y^2 - 5y - 6 = 0
(2y-3)(3y+2) = 0
y = 3/2 or y = -2/3

x^(1/3) = 3/2 or x^(1/3) = -2/3
x = 27/8 or x = -8/27