Introduction to quadratic equations

let me explain about quadratic equations,
The simplest relationship between two variables is when they are equal. The next simplest is when one variable is equal to the other multiplied by a constant. This relationship is discussed in the notebook on linear equations. In either case, the relationship is said to be "linear".

Another common sort of relationship between two variables is a "quadratic" relationship. A quadratic relationship involves the power 2, i.e. the operation of "squaring" somewhere within it.

An example of a quadratic term is x2, so is 3t2 and -.05q2. But the expressions x3 and x-2 are not quadratic, as the power involved is not 2.

A quadratic equation, then, is an equation that has a quadratic expression within it. For example: 4x2-5=0 or y=2x2. In the first case there is only one variable in the equation, in the second the equation gives the relationship between two variables.

Similarly a quadratic function is a function which involves the action of squaring somewhere within it. For example: f(x)=3x2+100.

Hope the above explanation was helpful.