Why it matters
You often don't need the roots themselves, only how many there are. That single question powers tangent problems, "for all " problems and range problems throughout the course.
A-LEVEL•Mathematics•Quadratics•1.2 The Discriminant & Nature of Roots
Why it matters
Use b^2 - 4ac to decide whether a quadratic equation has two, one or no real roots, and find unknown constants.
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