SOLUTION: how do i solve the equation and Check for extraneous solutions. {{{sqrt(5x-6)=x}}}. Can you show me step-by-step

Algebra ->  Square-cubic-other-roots -> SOLUTION: how do i solve the equation and Check for extraneous solutions. {{{sqrt(5x-6)=x}}}. Can you show me step-by-step       Log On


   

Question 801103: how do i solve the equation and Check for extraneous solutions. sqrt%285x-6%29=x. Can you show me step-by-step
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285x+-+6%29 = x
Square both sides of equation
5x - 6 = x^2
Rearrange remembering to change signs
as you move the figures across the =
x^2 - 5x + 6 = 0
(x - 2)(x - 3)= 0
x = 2 or 3
Hope this helps.
:-)