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How to Solve Quadratic Equations
Formula
The quadratic formula x = (-b ± sqrt(b²-4ac)) / 2a solves any equation of the form ax²+bx+c = 0.
The discriminant b²-4ac determines the nature of the roots: positive gives two real roots, zero gives one, negative gives complex roots.
Common use cases:
- Solving physics projectile equations
- Finding break-even points in business
- Determining intersection points of parabolas
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