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.
Video Examples: Linear and NonLinear Equations
Example of Nonlinear Equations
- 4x2 + 2y - 1 = 0 and x3 + 2x2 - 4xy - 1 = 0 are the examples of nonlinear equations.
- is a nonlinear equation.
Solved Example on Nonlinear Equations
Ques: Which of the following equations is not a linear equation?
A. 3x - 5 = 8x
B. 2 + 3x = 4
C. (x + 2)2 = 6
D. x = 1
Correct Answer: C
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.