SOLUTION: Why are there usually two solutions in quadratic equations
Quadratic Equations and Parabolas
-> SOLUTION: Why are there usually two solutions in quadratic equations
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Why are there usually two solutions in quadratic equations
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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
SOLVE quadratic equation with variable
(in our case
) has the following solutons:
For these solutions to exist, the
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.