Relation Between Roots and Linear Coefficient

Rarely Tested

Relation Between Roots and Linear Coefficient

## Formula

For:

$$ax^2+bx+c=0$$

with roots $$\alpha,\beta$$:

$$\alpha+\beta=-\frac ba$$

Hence:

$$b=-a(\alpha+\beta)$$

## Usage

- Used to determine the sum of roots or an unknown coefficient.

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