# 10.1.4. Relation between the Two Roots of the Second Degree Equation and the Coefficients of Its Terms

Without solving the equation

- A
- B
- C
- D

### Example

Without solving the equation

### Solution

A quadratic equation can be written in the form

or

Suppose the two roots of a quadratic equation are

Thus, the form of a quadratic equation can also be written as

Multiply the factors on the left
side of the equation.

Divide both sides of

or

Therefore,