Quadratic Formula & Discriminant Review

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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 is positive, how many real solutions does the quadratic equation have?

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If the discriminant is positive, the quadratic equation has two distinct real solutions.

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If the discriminant is zero, how many real solutions does the quadratic equation have?

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If the discriminant is zero, the quadratic equation has exactly one real solution.

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If the discriminant is negative, what can be said about the solutions of the quadratic equation?

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If the discriminant is negative, the quadratic equation has no real solutions; instead, it has two complex solutions.

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What is the significance of the term 'zeros' in a quadratic function?

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The 'zeros' of a quadratic function are the values of x for which the function equals zero. They represent the x-intercepts of the graph.

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How do you determine the nature of the roots from the discriminant?

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