SOLUTION: Please help me solve this equation {{{ sqrt (3x+4)=2+ sqrt (x)}}}

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Question 597322: Please help me solve this equation +sqrt+%283x%2B4%29=2%2B+sqrt+%28x%29
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
This +sqrt+%283x%2B4%29=2%2B+sqrt+%28x%29 can be squared on both sides to get:
3x+4=(2+ sqrt x)^2
Expand this out to:
3x+4=4+4 sqrt x +x
Subtract 4 and x to get:
2x=4 sqrt x
Divide by 4 each side:
1/2(x)=sqrt x
Square both sides again to get:
1/4x^2=x
Divide by x:
1/4x=1
Multiply by 4:
x=4
Make sense?
RJ
www.math-unlock.com