SOLUTION: {{{ sqrt (x^2+10x) = x+4 }}}

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Question 419986: +sqrt+%28x%5E2%2B10x%29+=+x%2B4+
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E2%2B10x%29+=+x%2B4+
Square both sides:
%28sqrt%28x%5E2%2B10x%29%29%5E2+=+%28x%2B4%29%5E2+
Foil the right sides (x+4)(x+4)
x^2 + 10x = x^2 + 8x + 16
;
combine the x's on the left
x^2 - x^2 + 10x - 8x = 16
2x = 16
x = 16%2F2
x = 8
:
:
Check in original equation
sqrt%288%5E2%2B10%288%29%29+=+8%2B4+
sqrt%2864%2B80%29+=+12+
sqrt%28144%29+=+12+; confirms our solution of x=8