SOLUTION: solve for x: the square root of x + 7 = x

SOLUTION: solve for x: the square root of x + 7 = x - 5.

Question 377675: solve for x: the square root of x + 7 = x - 5.
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Square both sides,

Factor,

Two solutions:

.
.
.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve for x: the square root of x + 7 = x - 5.
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sqrt(x+7) = x-5
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Square both sides to get:
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x+7 = x^2-10x+25
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Simplify:
x^2 -11x + 18 = 0
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(x-9)(x-2) = 0
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x = 9 or x = 2
======================
Check for extraneous roots:
sqrt(9+7) = 9-5
true
----
sqrt(2+7) = 2-5
false, therefore x=2 is extraneous
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Solution: x = 9
===========================
Cheers,
Stan H.
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