📐 Quadratic Formula Calculator
Solve quadratic equations ax² + bx + c = 0 using the quadratic formula.
The Quadratic Formula
The quadratic formula x = (-b ± √(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 repeated root, and negative gives two complex conjugate roots.
When to Use This Calculator
Quadratic equations appear in physics (projectile motion), engineering (optimization), finance (break-even analysis), and many areas of science. Enter the coefficients a, b, and c to instantly find all solutions.
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