SOLUTION: Solve a) x^(2/3) + x^(1/3) - 6 = 0 Can you please help me out? Thanks so much in advance:)

Algebra ->  Systems-of-equations -> SOLUTION: Solve a) x^(2/3) + x^(1/3) - 6 = 0 Can you please help me out? Thanks so much in advance:)      Log On


   

Question 813434: Solve
a) x^(2/3) + x^(1/3) - 6 = 0
Can you please help me out? Thanks so much in advance:)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

a) x^(2/3) + x^(1/3) - 6 = 0   | Let x%5E%281%2F3%29+=+X

  X^2 + X - 6 = 0

(X -2)(X+3) = 0

(X +2)= 0 , X =  2   x%5E%281%2F3%29+=+X 0r  x = X^3,  x = 8

(X-3) = 0  , X = -3  x%5E%281%2F3%29+=+X 0r  x = X^3,  x = -27

CHECKING our Answer***

 4 + 2 - 6 = 0

 9 - 3 - 6 = 0