Roots Decreased by a Constant

Rarely Tested

Roots Decreased by a Constant

## Formula

If $$\alpha,\beta$$ are roots of:

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

then the roots:

$$\alpha-k,\beta-k$$

satisfy:

$$ax^2+(b+2ak)x+(ak^2+bk+c)=0$$

## Usage

- Used when a constant is subtracted from each root.

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