Equation Solver

Linear Equations (ax + b = 0)

Solved using: x = -b/a

Example: 2x - 4 = 0 → x = 2

Quadratic Equations (ax² + bx + c = 0)

Solved using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

Discriminant (Δ = b² - 4ac) determines the nature of roots:

• Δ > 0: Two real distinct roots
• Δ = 0: One real repeated root
• Δ < 0: Two complex conjugate roots

Cubic Equations (ax³ + bx² + cx + d = 0)

Solved using Cardano's formula or numerical methods for real roots.

All cubic equations have at least one real root.