SOLUTION: square root 3x+2=3x

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Question 352193: square root 3x+2=3x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x%2B2%29=3x
3x%2B2=9x%5E2
9x%5E2-3x-2=0
%283x-2%29%283x%2B1%29=0
Two solutions:
3x-2=0
3x=2
x=2%2F3
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3x%2B1=0
3x=-1
x=-1%2F3
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Verify the solutions to check for extraneous solutions.
sqrt%283x%2B2%29=3x
sqrt%283%282%2F3%29%2B2%29=3%282%2F3%29
sqrt%282%2B2%29=2
sqrt%284%29=2
2=2
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sqrt%283x%2B2%29=3x
sqrt%283%28-1%2F3%29%2B2%29=3%28-1%2F3%29
sqrt%28-1%2B2%29=-1
sqrt%281%29=-1
-1=-1
This solution is typically considered extraneous, since only positive values are used from the square root function.
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