SOLUTION: Why are there usually two solutions in quadratic equations

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Question 171610: Why are there usually two solutions in quadratic equations
Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!
In a simple parabola such as y=x^2
You have two x answers for y. It can be positive x or negative x.
x can equal +1 or -1 to get y=1
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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 0, 0. Here's your graph:


I hope that this helps.
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