SOLUTION: Please help solve: 6x - 7 times square root of x - 3 = 0. Thanks

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Question 987852: Please help solve:
6x - 7 times square root of x - 3 = 0. Thanks
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.
The equation is

6x - 7%2Asqrt%28x%29 - 3 = 0.     ---->

6x - 3 = 7%2Asqrt%28x%29.     Square both sides ----->

36x%5E2 - 36x + 9 = 49x,

36x%5E2 - 85x + 9 = 0,

Apply the quadratic formula:

x%5B1%2C2%5D = %2885+%2B-+sqrt%2885%5E2+-+4%2A36%2A9%29%29%2F72 = %2885+%2B-+77%29%2F72.

x%5B1%5D = %2885+%2B+77%29%2F72 = 21%2F4 = 2.25.

x%5B2%5D = %2885+-+77%29%2F72 = 8%2F72 = 1%2F9.

Answer.  x%5B1%5D = 2.25;  x%5B2%5D = 1%2F9.