Unit 3 Lesson 16-18 Practice

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What is the Discriminant in a quadratic equation?

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Front

How do you determine the number of real roots of a quadratic equation?

Back

To determine the number of real roots of a quadratic equation, calculate the Discriminant (D). If D > 0, there are 2 real roots. If D = 0, there is exactly 1 real root. If D < 0, there are no real roots.

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What does it mean if a quadratic equation has no real roots?

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If a quadratic equation has no real roots, it means that the graph of the equation does not intersect the x-axis. This occurs when the Discriminant is less than zero (D < 0).

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Front

What is the significance of a negative Discriminant?

Back

A negative Discriminant indicates that the quadratic equation has no real roots, meaning the solutions are complex or imaginary numbers.

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Back

Front

What is the formula for the Discriminant?

Back

Front

If the Discriminant is 36, how many real roots does the quadratic equation have?

Back

If the Discriminant is 36, the quadratic equation has 2 real roots, since D > 0.

Front

What are complex roots?

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