SOLUTION: solve x-6=√(6x+4) please help me work out this problem.

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Question 282881: solve x-6=√(6x+4) please help me work out this problem.
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
x-6=√(6x+4)

(x-6)^2=6x+4

x^2-12x+36=6x+4

x^2-18x+32=0

(x-2)(x-16)=0

x=2 or x=16

x-6=√(6x+4)


2-6=√(6(2)+4)

-4=4 ... false



x-6=√(6x+4)


16-6=√(6(16)+4)

10=10 ... true


Answer: Only solution is x=16