SOLUTION: Why do you factor a quadratic equation before you solve?

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Question 315549: Why do you factor a quadratic equation before you solve?
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
You do not have to factor a quadratic equation before you solve it.
You can solve it using a discriminant.
Example:
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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