#### Solution of cubic equation

## How do you solve a cubic equation?

A cubic equation is an algebraic equation of third-degree. The general form of a cubic function is: f (x) = ax^{3} + bx^{2} + cx^{1} + d. And the cubic equation has the form of ax^{3} + bx^{2} + cx + d = 0, where a, b and c are the coefficients and d is the constant.

## What is the formula for cube root?

Cube Root Formula

1^{3} = 1 |
If the last digit of perfect cube number =1, the last digit of cube root for that number=1 |
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8^{3} =512 |
If the last digit of perfect cube number =2, the last digit of cube root for that number=8 |

9^{3} = 729 |
If the last digit of perfect cube number =9, the last digit of cube root for that number=9 |

## How do you solve 3 equations with 3 variables?

Systems with three equations and three variables can also be solved using the Addition/Subtraction method. Pick any two pairs of equations in the system. Then use addition and subtraction to eliminate the same variable from both pairs of equations.

## How do you solve Binomials?

Solve each equation to get a solution to the binomial. For x^2 – 9 = 0, for example, x – 3 = 0 and x + 3 = 0. Solve each equation to get x = 3, -3. If one of the equations is a trinomial, such as x^2 + 2x + 4 = 0, solve it using the quadratic formula, which will result in two solutions (Resource).

## What are the cube roots of 1?

In real numbers the cube root of 1 is 1. However, in complex numbers it also has two other roots, namely cos(120) + sin (120) X I where I is root (-1) and also cos(240) + sin (240) x I. Each of these roots when cubed give 1, as well as 1.