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Math Calculators

Quadratic Formula Calculator

Solve any quadratic equation of the form ax² + bx + c = 0 for its roots.

Discriminant
x₁
x₂
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About the Quadratic Formula Calculator

The quadratic formula solves any equation of the form ax² + bx + c = 0 for x, where a ≠ 0.

Formula: x = (−b ± √(b² − 4ac)) ÷ 2a

The discriminant (b² − 4ac) tells you the nature of the roots: positive gives two real roots, zero gives one repeated root, and negative gives two complex roots.

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