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) = ax3 + bx2 + cx1 + d. And the cubic equation has the form of ax3 + bx2 + 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

13 = 1 If the last digit of perfect cube number =1, the last digit of cube root for that number=1
83 =512 If the last digit of perfect cube number =2, the last digit of cube root for that number=8
93 = 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.

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