SOLUTION: Solve the radical equation. sqrt(3x+4)=2+ sqrt(x) This will usually involve squaring each side twice. I don't know how to resolve this, can you please give an explanation as

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Question 737647: Solve the radical equation. sqrt(3x+4)=2+ sqrt(x)
This will usually involve squaring each side twice.
I don't know how to resolve this, can you please give an explanation as to how to perform this?

Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Given:

Square both sides.


Operate to get just the irrational on one side and everything else on the other.
Also simplify.




Square both sides.


A little more to get a more useful form;



EITHER x =0 OR x-4=0.
EITHER OR .

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
sqrt(3x+4)=2+ sqrt(x)

square






rearrange


square



/4x
x=4

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