SOLUTION: Solve the equation. Check for any extraneous solutions. (sqrt(2-x)) = x+4

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Question 858163: Solve the equation. Check for any extraneous solutions.
(sqrt(2-x)) = x+4
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282-x%29%29+=+x%2B4
square both sides of the equation
(2-x) = (x+4)^2
2-x= x^2+8x+16
x^2+9x-14=0
x^2+9x =14
x^2+9x+(9/2)^2 =14 +(9/2)^2
(x+9/2)^2 = 14+(81/4)
(x+9/2)^2 = (56+81)/4

(x+9/2)^2 = (137)/4

take square root
x+9/2 = +/-sqrt(137)/2
x= -9/2 +/- sqrt(137)/2


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the equation. Check for any extraneous solutions.
(sqrt(2-x)) = x+4
x+=+-+7(EXRANEOUS) 

highlight_green%28x+=+-+2%29

You can do the check!! 



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