Quadratic Equation

Quadratic Equation is an equation which contains an $x^2$ term (or if you want to get technical it is an equation containing a single variable of degree² with no higher power).

A quadratic equation contains x squared

A quad bike with a rat (quadratic) driving, pulling an X-ray (X) of a fish in a square (²) fish tank.

Example 1

A quadratic equation is an equation which contains a $x^2$ term.

$y=x^2$

$y=x^2+2$

$y=x^2+x-4$

$y=x^2+2x-6$

All of the equations contain a $x^2$ term therefore they are called quadratic equations.

Example 2

$ax^2+bx+c=0$

This is a well known quadratic equation i.e. containing $x^2$

Example 3

$x^2+y^2=z^2$

$x^3+x^2=0$

These are NOT quadratics because the first has another variable with degree squared and the second has one with a higher power than 2.