SOLUTION: Solve for x: √(x+7)=x-5 please show work Thanks. Karyn

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Question 415503: Solve for x: √(x+7)=x-5 please show work
Thanks.
Karyn
Found 2 solutions by sudhanshu_kmr, mananth:
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
square both sides......
x + 7 = (x-5)^2
=> x+ 7 = x^2 - 10x +25
=> x^2 -11x + 18 = 0
=> x^2 -9x-2x +18= 0
=> x(x-9) -2(x-9) = 0
=> (x-2)(x-9) = 0
=> x =2 , 9
so,value of x = 2, 9.


Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B7%29=x-5
Take the square on both sides
(x+7)=(x-5)^2
x+7 = x^2-10x+25
x^2-10x-x+25-7=0
x^2-11x+18=0
x^2-9x-2x+18=0
x(x-9)-2(x-9)=0
(x-9)(x-2)=0
x=9 OR x=2