Solving Cubic Equations
A Cubic Equation can be solved by two methods
- By reducing it into a quadratic equation and then solving it either by factoring or the quadratic formula
- By Graphical Method
A Cubic Equation has three roots. These roots may be real or imaginary. Also, there can be there distinct roots or two same and one different root and all three same roots.
Point to be noted that for any equation, including Cubic Equations, the equation must always be arranged in its standard form first before solving the equation.
For instance, if the given equation is 2x2-5 = x + 4/x, then we have to re-arrange this into its standard form, i.e., 2x3-x2-5x-4 = 0. Now, we can solve the equation using any appropriate method.
Solving Cubic Equations
Cubic Equation is a mathematical equation in which a polynomial of degree 3 is equated to a constant or another polynomial of maximum degree 2. The standard representation of the cubic equation is ax3+bx2+cx+d = 0 where a, b, c, and d are real numbers. Some examples of cubic equation are x3 – 4x2 + 15x – 9 = 0, 2x3 – 4x2 = 0 etc.
Table of Content
- Polynomial Definition
- Degree of Equation
- Cubic Equation Definition
- How to Solve Cubic Equations?
- Solving Cubic Equations
- Solving Cubic Equation Using Factors
- Solving Cubic Equation Using Graphical Method
- Problems Based on Solving Cubic Equations
- Practice Problems on Solving Cubic Equations
For learning How to Solve Cubic Equations we must first learn about polynomials, the degree of the polynomial, and others. In this article, we will learn about, Polynomials, Polynomial Equations, Solving Cubic Equations Or how to solve cubic equations, and others in detail.
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