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?

    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.