SOLUTION: solve for x: (x+2)^2/5 - 6(x+2)^1/5 = -8

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: solve for x: (x+2)^2/5 - 6(x+2)^1/5 = -8      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 368354: solve for x:
(x+2)^2/5 - 6(x+2)^1/5 = -8
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution, u=root%285%2Cx%2B2%29%29
u%5E2-6u=-8
u%5E2-6u%2B8=0
%28u-2%29%28u-4%29=0
Two solutions:
u-2=0
u=2
root%285%2Cx%2B2%29=2
x%2B2=2%5E5
highlight%28x=30%29
.
.
.
u-4=0
u=4
root%285%2Cx%2B2%29=4
x%2B2=4%5E5
highlight%28x=1022%29