SOLUTION: solve: 1) x^1/5=-2 2) square root 2x+15=x+2 / note the 2x+15 is under a square root. can some please help me thank you.

Algebra ->  Rational-functions -> SOLUTION: solve: 1) x^1/5=-2 2) square root 2x+15=x+2 / note the 2x+15 is under a square root. can some please help me thank you.      Log On


   

Question 115763: solve:
1) x^1/5=-2 2) square root 2x+15=x+2 / note the 2x+15 is under a square root.
can some please help me thank you.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x^(1/5)=-2
x%5E%28%281%2F5%29%29%5E5=%28-2%29%5E5
x=-32
.
sqrt(2x+15)=x+2
2x+15=(x+2)^2 square each side.
2x+15=x^2+4x+4
x^2+4x-2x+4-15=0
x^2+2x-11=0
x^2+2x =11
x^2+2x+1=11+1 complete the square.
(x+1)^2=12
x+1=+-sqrt(4*3)
x+1=+-2sqrt(3)
x=-1+-2sqrt(3)
.
Ed