Quadratic equations have a rich history, having intrigued mathematicians
and engineers from antiquity. The first known solution of a quadratic equation hails
from Egypt—recorded in the Berlin papyrus from the Middle Kingdom (ca. 2160-1700
BC). In essence, the two equation non- linear system to be solved was:

x2 + y2 = 100 and y = ¾ x

Solutions providing only the positive root were proffered by Indian, Persian, and
Greek mathematicians over a period that spanned from 500 BC to 1100 AD, 1600
years! Most of these solutions were geometric ones.

This document serves as a tutorial on quadratic equations. After completing this
tutorial, you should be able to:

1. factoring.
2. the square root method.
3. completing the square.

II Find the discriminant of a quadratic equation and use it to determine
how many solutions and the type of solutions the equation possesses.

One method may be more thorough, the other more efficient, depending on
the quadratic equation given. So it is good to be versatile in the various