Quadratic Formula and Discriminant Practice

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What is the discriminant in a quadratic equation?

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The discriminant is given by the formula b² - 4ac, which determines the nature of the roots of the quadratic equation.

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CCSS.HSA-REI.B.4B

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a = 1, b = -6, c = 14.

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Tags

CCSS.HSA-REI.B.4B

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a = 2, b = -3, c = -5.

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Tags

CCSS.HSA-REI.B.4B

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What does the quadratic formula solve for?

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Tags

CCSS.HSA-REI.B.4B

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What does a positive discriminant indicate about the roots of a quadratic equation?

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A positive discriminant indicates that the quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

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What does a zero discriminant indicate about the roots of a quadratic equation?

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A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B

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What does a negative discriminant indicate about the roots of a quadratic equation?

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A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.

Tags

CCSS.HSA-REI.B.4B

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How can you determine the vertex of a parabola represented by a quadratic equation?

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