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What does the discriminant tell you?

Understand the Problem

The question is asking about the discriminant in mathematics, particularly in the context of quadratic equations. It seeks to understand the information provided by the discriminant regarding the nature and number of roots of a quadratic equation.

Answer

The discriminant shows the number and nature of the roots of a quadratic equation.

The value of the discriminant determines the number and nature of the roots of a quadratic equation:

Answer for screen readers

The value of the discriminant determines the number and nature of the roots of a quadratic equation:

More Information

The discriminant of a quadratic equation, given by the expression b² - 4ac, helps determine whether the roots are real or complex and whether they are distinct or repeated.

Tips

Common mistakes include not correctly calculating b² - 4ac and misunderstanding the significance of the discriminant's value.

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