Math & Algebra Tool

Cubic Equation Solver

Solve third-order polynomial equations of the form ax³ + bx² + cx + d = 0.

x³ + x² + x + = 0

Σ The Formula

ax³ + bx² + cx + d = 0

Real World Examples

Standard Cubic
x³ - 6x² + 11x - 6 = 0 → Roots: 1, 2, 3
Single Root
x³ + 3x + 4 = 0 → Root: -1

# About This Calculator

A Cubic Equation is a polynomial equation of the third degree. Unlike quadratic equations, cubic equations always have at least one real root.

The general solution for cubic equations was first published by Gerolamo Cardano in 1545. It involves calculating a discriminant to determine the nature of the roots—whether they are all real or if some are complex (containing imaginary numbers).

How To Use

  1. Enter the coefficients **a**, **b**, **c**, and **d**.
  2. Note: The coefficient **a** cannot be zero (that would make it a quadratic).
  3. Click **Solve Cubic**.
  4. The results will display all real roots. Complex roots are noted but not solved for in this basic version.

Frequently Asked Questions

Why does it sometimes only show one root?+

A cubic equation can have one, two, or three real roots. If the discriminant is positive, there is only one real root and two complex (imaginary) roots.

Can I use decimals for coefficients?+

Yes, you can enter any numerical value including negative numbers and decimals.

Is Cubic Equation Solver free to use?+

Yes, Cubic Equation Solver on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Cubic Equation Solver?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Cubic Equation Solver are accurate for academic and professional use.

Can I use Cubic Equation Solver on my phone?+

Yes! Cubic Equation Solver is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

A Cubic Equation is a polynomial equation of the third degree. Unlike quadratic equations, cubic equations always have at least one real root.

The general solution for cubic equations was first published by Gerolamo Cardano in 1545. It involves calculating a discriminant to determine the nature of the roots—whether they are all real or if some are complex (containing imaginary numbers).

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