Question

can someone help me out with this problem:

x^(2/3) + x^(1/3) - 6 =0

Answer 1

Im asked to find x

Answer 2

already found the answer

Answer 3

Consider x^1/3 = y ---- [1]
it will form a quadratic equation as y^2 - y + 6 = 0
solve y and the put the value of y in [1]

Answer 4

sorry it will form a quadratic equation as y^2 + y 6 6 = 0

Answer 5

y^2 + y - 6 = 0

Answer 6

Im rising every element in the equation to the third power, so

x2 + x -216=0

Am I right?