Quadratic Equations - Introduction

What is a Quadratic Equation?

  1. A quadratic equation is a polynomial equation of the second degree. 
  2. A quadratic equation has only one variable 
  3. The highest power of the variable is 2.
Example of Quadratic Equation
The followings are some examples of quadratic equations
  • \(2{x^2} + 3x + 4 = 0\)
  • \({t^2} = \frac{2}{5}\)
  • \(y(6y - 3) = 5\)
  • \(a - 3y + 2{y^2} = 2\) where a is a constant.
Example of Non Quadratic Equation
  • \(2x + 1 = 0\), (Reason: The highest power of x ≠ 2.)
  • \(2{x^3} + 1 = x\), (Reason: The highest power of x ≠ 2.)
  • \({t^2} + \frac{5}{t} = 3\), (Reason: The present of the term \(\frac{5}{t}\).)

Example 1