SOLUTION: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are? If you have any examples to provide, that would also be helpful. Thanks!

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Question 268037: If you are looking at a graph of a quadratic equation, how do you determine where the solutions are? If you have any examples to provide, that would also be helpful. Thanks!
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
The solutions are where y=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=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:


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