SOLUTION: √3x-2 +3= 4x solve with extraneous solutions

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Question 894327: √3x-2 +3= 4x solve with extraneous solutions
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x-2%29%2B3=4x
sqrt%283x-2%29=4x-3
3x-2=%284x-3%29%5E2
3x-2=16x%5E2-24x%2B9
16x%5E2-27x%2B11=0
%28x-1%29%2816x-11%29=0
Two solutions:
x-1=0
x=1
Verifying,
sqrt%283-2%29%2B3=4
1%2B3=4
4=4
True.
16x-11=0
16x=11
x=11%2F16
Verifying,
sqrt%283%2811%2F16%29-2%29%2B3=4%2811%2F16%29
sqrt%2833%2F16-32%2F16%29%2B3=11%2F4
sqrt%281%2F16%29%2B12%2F4=11%2F4
1%2F4%2B12%2F4=11%2F4
13%2F4=11%2F4
False, this is the extraneous solution.