How do you solve x-sqrt(2x+3) =-2?

1 Answer
Noah G
Apr 17, 2016

Isolate the square root.

Explanation:

x + 2 = sqrt(2x + 3)

Square both sides of the equation to get rid of the square root.

(x + 2)^2 = (sqrt(2x + 3))^2

x^2 + 4x + 4 = 2x + 3

x^2 + 2x + 1 = 0

(x + 1)(x + 1) = 0

x = -1

Checking your solution in the original equation, we find our solution works. This is vital with radical equations, since extraneous solutions can arise during the solving process.

Hopefully this helps!

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