SOLUTION: sqrt(2x-3)+x=3

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Question 904575: sqrt(2x-3)+x=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x-3%29%2Bx=3
sqrt%282x-3%29=3-x
2x-3=%283-x%29%5E2
2x-3=9-6x%2Bx%5E2
x%5E2-8x%2B12=0
%28x-2%29%28x-6%29=0
Two solutions:
x-2=0
x=2
Verify the solution:
sqrt%282%282%29-3%29%2B2=3
sqrt%284-3%29%2B2=3
sqrt%281%29%2B2=3
1%2B2=3
3=3
True. Good solution.
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x-6=0
x=6
Verify the solution:
sqrt%282%286%29-3%29%2B6=3
sqrt%2812-3%29%2B6=3
sqrt%289%29%2B6=3
3%2B6=3
9=3
False. Not a good solution.
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highlight_green%28x=2%29