SOLUTION: The solution set of the equation square root x+6=x is my answer was three. is this correct Thank You

Question 286994: The solution set of the equation square root x+6=x is
my answer was three. is this correct
Thank You
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

x+6=x^2
x^2-x-6=0
(x-3)(x+2) = 0
so 3 is one of the roots
Is -2 a usable root?
plug it back in the original
sqrt(-2+6)=-2
sqrt(4)=-2
Is that usable?
(-2)^2=4
(+2)^2=4
does +2=-2? no
does -2=-2? yes

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