Discriminate TTOD

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What is the discriminant in the quadratic formula?

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True or False: The discriminant allows us to identify the number of solutions a quadratic has.

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TRUE

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The discriminant is negative, indicating there are no real solutions.

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a = 3, b = -7, c = 1.

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a = -6, b = 0, c = 8.

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

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A positive discriminant indicates that there are two distinct real solutions.

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

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A zero discriminant indicates that there is exactly one real solution (a repeated root).

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

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A negative discriminant indicates that there are no real solutions (the solutions are complex).

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a is the coefficient of the quadratic term, b is the coefficient of the linear term, and c is the constant term.

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