**Definition of Nonlinear Equations**

- Equation whose graph does not form a straight line (linear) is called a Nonlinear Equation.

**More about Nonlinear Equations**

- In a nonlinear equation, the variables are either of degree greater than 1 or less than 1, but never 1.

**Examples of Nonlinear Equations**

- 4
*x*^{2}+ 2*y -*1 = 0 and*x*^{3}+ 2*x*^{2}*-*4*x**y*- 1 = 0 are the examples of nonlinear equations. - is a nonlinear equation.

**Solved Example on Nonlinear Equations**

Which of the following equations is not a linear equation?

Choices:

A. 3x- 5 = 8x

B. 2 + 3x= 4

C. (x+ 2)^{2}= 6

D.x= 1

Correct Answer: C

Solution:

Step 1:An algebraic equation is said to be linear if the variable or variables in the equation are of first degree.

Step 2:In the equation (x+ 2)^{2}= 6, x is raised to the power 2.

Step 3:So, (x+ 2)^{2}= 6 is not a linear equation.

**Related Terms for Nonlinear Equations**

- Equation
- Expression
- First Degree Equations
- Linear
- Linear Equation
- One
- Power
- Quadratic Equation
- Second Degree
- Term
- Variable