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Home Q & A Board Science-Related Homework Help Mathematics
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Fireburns92 Fireburns92
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11 years ago
Hi, i need to know these two answers for a web site that i am building. And i was hoping that you guys could help.. Thanks!!


1 )  How many solutions exist for a quadratic equation? Explain.

 2) How do we determine whether the solutions are real or complex?
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#1
11 years ago
A quadratic will have either 2, 1 or 0 real solutions.  The number of solutions depends on the value of the determinant.

The determinant is that portion of the quadratic formula under the square root sign (b² - 4ac)

If that value is positive, you have 2 real roots, no complex roots.
If that value is zero, you have 1 real root (a double root essentially)
If that value is negative, you have 0 real roots and 2 complex roots.
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