SOLUTION: Please help me with these. I really appreciate it. I have to solve these equations. a. index 3 (radicand x-2) = -5 b. x ^1/3 -2 = 0 Thank you for your help

Algebra ->  Rational-functions -> SOLUTION: Please help me with these. I really appreciate it. I have to solve these equations. a. index 3 (radicand x-2) = -5 b. x ^1/3 -2 = 0 Thank you for your help      Log On


   

Question 546019: Please help me with these. I really appreciate it. I have to solve these equations.
a. index 3 (radicand x-2) = -5
b. x ^1/3 -2 = 0

Thank you for your help
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve these equations.
a. 3sqrt%28x-2%29 = -5
Cube both sides
x - 2 = -5^3
x - 2 = -125
x = -125 + 2
x = -123
Check this in the original equation
3sqrt%28-123-2%29 =
3sqrt%28-125%29 = -5, (the cube root of -125 is -5)
:
:
b. x%5E%281%2F3%29-+2+=+0
x%5E%281%2F3%29+=+2
cube both sides
x = 2%5E3
x = 8
Check in original equation
8%5E%281%2F3%29-+2+=+0
find the cube root of 8
2 - 2 = 0