5/19/25 Final Exam Review

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What does it mean if a system of equations has 1 solution?

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The lines intersect at exactly one point.

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What does it mean if a system of equations has no solution?

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The lines are parallel and never intersect.

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What is the discriminant in a quadratic equation?

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It determines the nature of the roots of the equation.

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What is the formula for the discriminant?

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What does a positive discriminant indicate?

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There are two distinct real roots.

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What does a zero discriminant indicate?

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There is exactly one real root (a repeated root).

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What does a negative discriminant indicate?

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There are no real roots (the roots are complex).