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College Algebra  /  Alg 209  ·  Atom · ~20 seconds

The Discriminant

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The discriminant is the expression under the quadratic formula's radical, b² − 4ac; its sign announces the nature of the solutions before any solving.

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Positive 49: two real solutions. Zero, as in x² + 6x + 9: one repeated solution. Negative, as in x² + x + 1: two complex ones.

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