Viète's Theorem Explained

Hello, I am François Viète, a French mathematician. I lived from

1540 to 1603. I contributed to the development of algebra and introduced the system of

using letters to denote quantities. Today, I will explain to you the

theorem that bears my name, Viète’s Theorem. Viète’s Theorem shows the relationship between

the roots of a quadratic equation and its coefficients. If a is not zero,

then the roots satisfy the following relations: x₁ plus x₂ equals minus b

divided by a. And x₁ multiplied by x₂ equals c divided by a.

The main purpose of this theorem is to find the roots without using the discriminant.