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 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, meaning the graph of the equation does not intersect the x-axis.

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How many real solutions does a quadratic equation have if the discriminant is zero?

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If the discriminant is zero, the quadratic equation has exactly one real solution, also known as a repeated or double root.

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What is the significance of the coefficients a, b, and c in a quadratic equation?

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How do you determine if a quadratic equation has two distinct real solutions?

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What is the formula for calculating the discriminant?

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