SOLUTION: what is the solution to: 6x-7√x - 3 = 0

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Question 981678: what is the solution to:
6x-7√x - 3 = 0
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Let sqrt%28x%29=y
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6x-7sqrt%28x%29-3=0
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6sqrt%28x%29%5E2-7sqrt%28x%29-3=0 Substitute for sqrt%28x%29
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6y%5E2-7y-3=0
6%28y%5E2-%287%2F6%29y-3%2F6%29=0
6%28y-3%2F2%29%28y%2B1%2F3%29=0
y-3%2F2=0 OR y%2B1%2F3=0
y=3%2F2 OR y=-1%2F3 Substitute for y
sqrt%28x%29=3%2F2 OR sqrt%28x%29=-1%2F3 Square both sides of both equations.
x=9%2F4 OR x=1%2F9