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Solve the equation sqrt(x + 4) = x - 2.

 Dec 2, 2019
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Solve for x:
sqrt(x + 4) = x - 2

Raise both sides to the power of two:
x + 4 = (x - 2)^2

Expand out terms of the right hand side:
x + 4 = x^2 - 4 x + 4

Subtract x^2 - 4 x + 4 from both sides:
5 x - x^2 = 0

Factor x and constant terms from the left hand side:
-x (x - 5) = 0

Multiply both sides by -1:
x (x - 5) = 0

Split into two equations:
x - 5 = 0 or x = 0

Add 5 to both sides:
x = 5 or x = 0

So, x = 0 discard.  Or x = 5

 Dec 2, 2019

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