SOLUTION: Three times the square of a certain positive number exceeds six times the number by nine. Fine the number:

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Question 425483: Three times the square of a certain positive number exceeds six times the number by nine. Fine the number:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Three times the square of a certain positive number exceeds six times the number by nine.
Find the number:
:
3x^2 = 6x + 9
3x^2 - 6x - 9 = 0
simplify, divide by 3, resulting in:
x^2 - 2x - 3 = 0
Factors to
(x-3)(x+1)
Two solutions
x = 3
x = -1
:
You can check both solution in original equation