Quadratic Formula Calculator
Solve quadratic equations of the form ax² + bx + c = 0. Shows real and complex roots, discriminant, vertex, and step-by-step derivation.
Complete User Guide
Enter coefficients a, b, and c. The solver will compute the discriminant and find roots using the quadratic formula. Steps are shown below the results.
The Mathematical Formula
x = [-b ± √(b² - 4ac)] / 2a
The discriminant D = b² - 4ac determines the nature of roots. If D > 0, roots are real and distinct. If D < 0, roots are complex.
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