SOLUTION: how do you solve the square root of 5x-6=x

Question 277204: how do you solve the square root of 5x-6=x
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
square root of 5x-6=x
sqrt(5x-6)=x
Square both sides.
5x-6=x^2
x^2-5x+6=0
(x-3)(x-2)=0
x-3=0
x=3 ans.
x-2=0
x=2 ans.
Proof:
sqrt(5*3-6)=3
sqrt(15-6)=3
sqrt9=3
3=3
sqrt(5*2-6=2
sqrt(10-6)=2
sqrt4=2
2=2