SOLUTION: Solve the equation and find extraneous solutions. (x+5)^(2/3)=4

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Question 989399: Solve the equation and find extraneous solutions.
(x+5)^(2/3)=4
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625) About Me  (Show Source):
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the equation and find extraneous solutions.
(x+5)^(2/3)=4
highlight%28highlight%28%28x+%2B+5%29%5E%282%2F3%29+=+4%29%29

 -------- Raising each side to the 3%2F2 power



x+%2B+5+=%22+%22+%2B-+%28sqrt%284%29%29%5E3

x+%2B+5+=+%22+%22%2B-+2%5E3

x+%2B+5+=+%22+%22+%2B-+8

x = 8 - 5, or highlight_green%28x+=+3%29	      OR	   x = - 8 - 5, or - 13 (ignore, as this is an extraneous solution)