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Posted by **kristina** on Tuesday, December 4, 2012 at 3:41pm.

3+ the square root of (2x+2)=x

- advanced math -
**Steve**, Tuesday, December 4, 2012 at 3:46pm3+√(2x+2) = x

√(2x+2) = x-3

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

2x+2 = x^2-6x+9

x^2-8x+7 = 0

(x-1)(x-7) = 0

x = 1 or 7

check for extraneous roots:

3+√(2+2) = 3+2 = 5 nope

3+√16 = 3+4 = 7 ok

so, x=7 is the only solution

x=1 is the solution using the -√

3-√4 = 1

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