SOLUTION: Explain each step involved in using the 'ac' method to factor the following: 8x^2 + 2x - 3

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Question 22383: Explain each step involved in using the 'ac' method to factor the following:
8x^2 + 2x - 3
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
First you need to set the equation to 0 so you get a quadratic
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=100 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.5, -0.75. Here's your graph:

Hope this helps!
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