SOLUTION: solve the radical equation. plese check your solution(s). state solution(s) in set builder notation {{{sqrt(2x-2)+3=x+2}}}

Algebra ->  Rational-functions -> SOLUTION: solve the radical equation. plese check your solution(s). state solution(s) in set builder notation {{{sqrt(2x-2)+3=x+2}}}      Log On


   

Question 330144: solve the radical equation. plese check your solution(s). state solution(s) in set builder notation
sqrt%282x-2%29%2B3=x%2B2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x-2%29%2B3=x%2B2
sqrt%282x-2%29=x-1
2x-1=%28x-1%29%5E2
2x-1=x%5E2-2x%2B2
x%5E2-4x%2B3=0
%28x-1%29%28x-3%29=0
Two solutions:
x-1=0
highlight%28x=1%29
.
.
.
x-3=0
highlight%28x=3%29
.
.
Verify the solutions by plugging the values into the original equation.