nonlinear 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.

Examples 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

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