SOLUTION: Find the discriminant of the equation 6x-9x^{2}+8 = 0

Question 902673: Find the discriminant of the equation 6x-9x^{2}+8 = 0
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
I am going to rewrite the equation in standard form.

To find the discriminant, use the quadratic equation.

Solved by pluggable solver: SOLVE quadratic equation with variable

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=324 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.666666666666667, 1.33333333333333. Here's your graph:

The discriminant is 324
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