How does the Cubic Equation Calculator work?
Free Cubic Equation Calculator - Solves for cubic equations in the form ax3 + bx2 + cx + d = 0 using the following methods:
1) Solve the long way for all 3 roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.
This calculator has 5 inputs.
1) Solve the long way for all 3 roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.
This calculator has 5 inputs.
What 4 formulas are used for the Cubic Equation Calculator?
Δ = 4b3d - b2c2 + 4ac3 - 18abcd + 27a2d2
x1 = 2j * Cosine(k/3) - b/(3a)
x2 = l(m + n) + p
x3 = l(m - n) + p
For more math formulas, check out our Formula Dossier
x1 = 2j * Cosine(k/3) - b/(3a)
x2 = l(m + n) + p
x3 = l(m - n) + p
For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Cubic Equation Calculator?
- cubic
- cubic equation
- An equation of the form ax3 + bx2 + cx + d = 0
- equation
- a statement declaring two mathematical expressions are equal
- quadratic
- Polynomials with a maximum term degree as the second degree
- rational root theorem
- used to find the rational solutions of a polynomial equation
- synthetic division
- a shorthand method for dividing a polynomial by a linear factor
- unknown
- a number or value we do not know
Example calculations for the Cubic Equation Calculator
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