Real Roots for Cubic Equation
Find real roots for cubic polynomial by changing am to depressed form.
Your numbers
Roots wey be real numbers
Numerical real roots, rounded to 10 significant digits. Near repeated roots, rescaling coefficients fit improve reliability.
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Formula
x=y−b/(3a); solve y³+py+q=0 with Cardano or trigonometric formulas.
Find real roots for cubic polynomial by changing am to depressed form.
Example wey show the calculation
- Coefficient a for cubic term
- 1
- Coefficient b for square term
- -6
- Coefficient c for linear term
- 11
- Constant term d
- -6
- Roots wey be real numbers
- 1, 2, 3
- Different real-number roots
- 3
Where e fit work and limits
Numerical real roots, rounded to 10 significant digits. Near repeated roots, rescaling coefficients fit improve reliability.
We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.
Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.
Version of di formula: 9399fe18387d · Example don get check: