SOLUTION: 6x - 5x^1/2 =6

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Question 838708: 6x - 5x^1/2 =6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Use a substitution, u=sqrt%28x%29, u%5E2=x
6x+-+5%2Asqrt%28x%29+=6
6u%5E2-5u-6=0
%283u%2B2%29%282u-3%29=0
Two possible solutions:
3u%2B2=0
3u=-2
u=-2%2F3
sqrt%28x%29=-2%2F3
Not a solution.
and
2u-3=0
2u=3
u=3%2F2
sqrt%28x%29=3%2F2
highlight%28x=9%2F4%29