Quadratic Formula and Discriminant

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What is the Quadratic Formula?

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What does the discriminant of a quadratic equation indicate?

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If the discriminant equals 0, how many solutions does the quadratic equation have?

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If the discriminant equals 0, the quadratic equation has 1 rational solution.

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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 2 distinct real solutions.

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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 2 complex solutions.

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If a quadratic equation has 2 complex solutions, what can be said about its discriminant?

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If a quadratic equation has 2 complex solutions, its discriminant is negative.