## Related Words

# NON LINEAR EQUATIONS

## 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.

### Example 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.

### Video Examples: Linear and NonLinear Equations

### Solved Example on Nonlinear Equations

**Ques: **Which of the following equations is not a linear equation?

##### Choices:

- A. 3
*x*- 5 = 8*x* - B. 2 + 3
*x*= 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.

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