SOLUTION: find the solution set of the equation (sqrt. x+3) = 3-x show all work.

Algebra ->  Rational-functions -> SOLUTION: find the solution set of the equation (sqrt. x+3) = 3-x show all work.       Log On


   

Question 931798: find the solution set of the equation
(sqrt. x+3) = 3-x
show all work.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Square both sides,
x%2B3=%283-x%29%5E2
x%2B3=9-6x%2Bx%5E2
x%5E2-7x%2B6=0
%28x-1%29%28x-6%29=0
Two solutions:
x-1=0
x=1
Verifying,
sqrt%281%2B3%29=3-1
sqrt%284%29=2
2=2
Good solution.
.
.
.
x-6=0
x=6
Verifying,
sqrt%286%2B3%29=3-6
sqrt%289%29=-3
3=-3
Not a solution.