
Unit 8 - Objective 4 – The Discriminant
The quantity
is the discriminant which is part of the quadratic formula.
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If can tell us about the roots of the quadratic equation.
If
and a perfect square such as 4, 49, 64, etc then the roots are real, rational and unequal.
If
and not a perfect square such as 24, 43, 50, etc then the roots are real, irrational and unequal.
If
, the roots are real, rational and equal.
If
, the roots are imaginary numbers and unequal.
Examples:
1.

2.

3.

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