SOLUTION: Square root of 2x-3=3-x

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Question 137784: Square root of 2x-3=3-x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x-3%29=3-x
Square both sides.
2x-3=%283-x%29%5E2
2x-3=9-6x%2Bx%5E2
x%2B2-8x%2B12=0
%28x-6%29%28x-2%29=0
x=2 and x=6.
Check your answers.
x=2
sqrt%282x-3%29=3-x
sqrt%282%282%29-3%29=3-2
sqrt%284-3%29=1
sqrt%281%29=1
1=1
True statement.
Good answer.
x=6
sqrt%282x-3%29=3-x
sqrt%282%286%29-3%29=3-6
sqrt%2812-3%29=-3
sqrt%289%29=-3
-3=-3
Remember that both %28-3%29%5E2=9 and %283%29%5E2=9.
True statement.
Good answer.