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Step-by-Step Solution
About the Quadratic Formula Calculator
The Quadratic Formula Calculator solves any quadratic equation using the quadratic formula. It computes the discriminant, identifies the nature of roots, and shows every step of the calculation.
Key Formulas
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Discriminant
Δ = b² − 4ac
Δ > 0
Two real roots
Δ = 0
One real root (repeated)
Δ < 0
Two complex roots
Sum of Roots
x₁ + x₂ = −b/a