SOLUTION: I have to sole the equation. Then check for extraneous solutions. 1.) (2x+1)^1/3 = 8^1/3 Please help...

Algebra ->  Rational-functions -> SOLUTION: I have to sole the equation. Then check for extraneous solutions. 1.) (2x+1)^1/3 = 8^1/3 Please help...      Log On


   

Question 419413: I have to sole the equation. Then check for extraneous solutions.
1.) (2x+1)^1/3 = 8^1/3
Please help...
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B1%29%5E1%2F3=8%5E1%2F3

1%2F%28root%283%2C%282x%2B1%29%29%29=1%2Froot%283%2C8%29.....since nominator are equal, then
denominators must be equal too

%28root%283%2C%282x%2B1%29%29%29=root%283%2C8%29

Raise both sides to the power 3,
=>+2x+%2B1=+8
=> 2x++=+8-1
=> 2x++=+7
=> x++=+7%2F2
check:
%282%287%2F2%29%2B1%29%5E%281%2F3%29=8%5E%281%2F3%29

1%2F%28root%283%2C%282%287%2F2%29%2B1%29%29%29=1%2Froot%283%2C8%29...Raising both sides to the power 3
1%2F2%287%2F2%29%2B1=1%2F8

2%287%2F2%29%2B1=8
7%2B1=8
8=8