SOLUTION: I have attempted solving this equation a multitude of ways and am not coming up with the correct answer. 2(x+2)^3=100 (x+2)^3=100/2 (x+2)^3*^(1/3)=50*^(1/3) x+2=3.684

Algebra ->  Equations -> SOLUTION: I have attempted solving this equation a multitude of ways and am not coming up with the correct answer. 2(x+2)^3=100 (x+2)^3=100/2 (x+2)^3*^(1/3)=50*^(1/3) x+2=3.684       Log On


   

Question 353643: I have attempted solving this equation a multitude of ways and am not coming up with the correct answer.
2(x+2)^3=100
(x+2)^3=100/2
(x+2)^3*^(1/3)=50*^(1/3)
x+2=3.684
x=1.684
Incorrect answer according to book.
Found 2 solutions by Fombitz, sofiyac:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
According to algebra, the book is incorrect.
Plug the answer into your original equation to verify.
2%28x%2B2%29%5E3=100
2%283.684%29%5E3=100
2%2850%29=100
100=100
Verified, well done.

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%2B2%29%5E3=100+ multiply both sides by 10
%28x%2B2%29%5E3=50+ take cubed root of each side
x%2B2=50%5E%281%2F3%29
x=-2%2B50%5E%281%2F3%29
I would leave the answer like that since you can't simplify it any further.