Algebra 1 - The Discriminant

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What is the discriminant in a quadratic equation?

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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.

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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.

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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).

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The discriminant is zero, indicating one real root.

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What is the significance of the discriminant in relation to the solutions of a quadratic equation?

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The discriminant helps determine the number and type of solutions (real or complex) for the quadratic equation.

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The graph of the quadratic function touches the x-axis at one point (the vertex) and does not cross it.

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The discriminant is -3, indicating 0 real roots (2 complex roots).

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What is the formula for the discriminant?

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