Cubic Formula Calculator
Solve cubic equations of the form ax³ + bx² + cx + d = 0. Enter coefficients and get real and complex roots with step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
Follow these steps to solve any cubic equation of the form ax³ + bx² + cx + d = 0:
- Enter coefficients a, b, c, and d in the corresponding input fields. Use decimal numbers (e.g., 2.5) or integers.
- Ensure a ≠ 0 – the calculator requires a non-zero value for the cubic term.
- Click the "Solve" button.
- View the results in the green box:
- Roots – up to three solutions (real or complex).
- Steps – shows the depressed cubic transformation and discriminant analysis.
Tips:
- All coefficients must be valid numbers. Use a dot (.) as decimal separator.
- If you see an error, double-check that a is not zero and all fields are filled.
- The calculator automatically handles all cases: one real root + two complex, three real roots (with possible repeats).
Previous Results
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Frequently Asked Questions
The cubic formula is a mathematical solution for finding the roots of a cubic equation (ax³ + bx² + cx + d = 0). It involves the discriminant to determine the nature of roots.
Enter the coefficients a, b, c, and d of your cubic equation and click 'Solve'. The calculator will display the roots and a step-by-step explanation.
If a = 0, the equation is not cubic. The calculator will show an error. Please ensure a ≠ 0.
Yes, when the discriminant is positive, the calculator shows one real root and two complex conjugate roots in the form a + bi.
