# 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.