√i

Complex Root Calculator

Find complex roots of quadratic equations

0

Coefficient a (x² term)

Coefficient b (x term)

Constant c

📐Quadratic Formula

General Formula

x = (-b ± √(b² - 4ac)) / (2a)

For ax² + bx + c = 0

Discriminant

Δ = b² - 4ac

Determines root type

Real Roots

Δ ≥ 0: Two real roots

May be distinct or equal

Complex Roots

Δ < 0: Two complex conjugates

a ± bi form

💼Applications

Engineering

• Control systems

• Oscillation analysis

• Circuit design

Physics

• Quantum mechanics

• Wave equations

• Damped oscillations

Mathematics

• Polynomial factoring

• Complex analysis

• Eigenvalue problems

Complex Root Calculator