SOLUTION: three times the square of a certain positive number exceeds six times the number by nine. find the number

Question 144539: three times the square of a certain positive number exceeds six times the number by nine. find the number
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
From the statement.
Rearrange into quadratic form
Divide by 3. Not really necessary, but it's a good idea.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

It says "positive integer", so discard the -1 answer, go with 3.
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