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Cubic Equation Solver
An equation having degree three is known as a cubic equation. Cubic equations have at least one real root and they can have up to 3 real roots. Roots of a cubic equation can be imaginary as well but at least 1 must be real.
What is Cubic Equation Solver?
'Cubic Equation Solver' is an online tool that helps to solve the given cubic equation. Online Cubic Equation Solver helps you to solve the given cubic equation in a few seconds.
How to Use Cubic Equation Solver?
Please follow the steps below on how to use the calculator:
- Step 1: Enter the cubic equation in the given input boxes.
- Step 2: Click on the "Solve" button to solve the given cubic equation.
- Step 3: Click on the "Reset" button to clear the field and enter the new equation.
How to Find Cubic Equation Solver?
A cubic equation is defined as a polynomial of degree three, i.e., the highest exponent of the variable is three.
The general form of the cubic equation is given by
The general form of cubic equation f(x) = ax3 + bx2 + cx + d = 0
Where a≠0, 'x' is the variable, a, b, c, d are the coefficients.
Let us see an example to understand briefly.
Solve the cubic equation x3 – 2x2 – x + 2 = 0.
Given: x3 – 2x2 – x + 2 = 0.
⇒ x2(x - 2) - (x - 2) = 0
⇒ (x2 - 1)(x - 2) = 0
⇒ (x + 1)(x - 1)(x - 2) = 0
⇒ (x + 1) = 0, (x - 1) = 0, (x - 2) = 0
⇒ x = -1, 1, 2
Similarly, you can try the calculator to solve the given cubic equations:
- 2x3 + 3x2 – 11x – 6 = 0
- x3 - 4x2 - 9x + 36 = 0