SOLUTION: sqrt(4-3x)-2= sqrt (8+x)

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Question 1004079: sqrt(4-3x)-2= sqrt (8+x)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt(4-3x)-2= sqrt (8+x)

%28sqrt%284-3x%29+-2%29%5E2+=+%28sqrt%288%2Bx%29%29%5E2

4-3x+-2%28sqrt%284-3x%29%29%2A2%2B4+=+8%2Bx


8-3x+-4%28sqrt%284-3x%29%29+=+8%2Bx

4%28sqrt%284-3x%29%29+=+8-3x-8-x

4%28sqrt%284-3x%29%29+=+-4x
/4
%28sqrt%284-3x%29%29+=+-x

square both sides
4-3x = x^2
x^2+3x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x+4)(x-1)=0
x=-4 OR 1