SOLUTION: How many solutions exist for a quadratic equation? Explain. How do we determine whether the solutions are real or complex?

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Question 48550: How many solutions exist for a quadratic equation? Explain.

How do we determine whether the solutions are real or complex?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
There are three ways for solutions to exist.
1.)No Solutions
2.)One Solution
3.)Two Solutions
To determine if the solution or solutions are complex or real, you would use the discriminant: b%5E2+-+4ac
If the discriminant is positive, you have two real solutions.
If the discriminant is zero, you have one real solution.
If the discriminant is negative, you have two complex solutions.