SOLUTION: Show and explain each step in solving the following quadratic equations: 2x^2 - 3x = 5

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Question 22379: Show and explain each step in solving the following quadratic equations:
2x^2 - 3x = 5
Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
You want to set the equation =0

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=49 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.5, -1. Here's your graph:

Hope this helps!
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