SOLUTION: Show and explain each step in solving the following quadratic equations: 2x^2 - x - 3 = 0

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Question 22381: Show and explain each step in solving the following quadratic equations:
2x^2 - x - 3 = 0
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
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=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.5, -1. Here's your graph:

Hope this helps!
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