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2.1 Quadratic Equations – Introduction

May 22, 2020March 16, 2013 by

What is a Quadratic Equation?

A quadratic equation is a polynomial equation of the second degree.
A quadratic equation has only one variable
The highest power of the variable is 2.

Example of Quadratic Equation
The followings are some examples of quadratic equations

$2 x^{2} + 3 x + 4 = 0$
$t^{2} = \frac{2}{5}$
$y (6 y - 3) = 5$
$a - 3 y + 2 y^{2} = 2$ where a is a constant.

Example of Non Quadratic Equation

$2 x + 1 = 0$ , (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

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