SOLUTION: How can you use a quadratic formula to solve the following equations? 0 = x^2 + x - 20 0 = x^2 - 5x + 6

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Question 22863: How can you use a quadratic formula to solve the following equations?
0 = x^2 + x - 20
0 = x^2 - 5x + 6
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I'm going to assume you want to solve these equations separately;
i.e. you do not want to solve them as a system of two quadratic
equation.
If so you use the quadratic formula to solve the 2nd one as follows:
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=1 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, 2. Here's your graph:
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