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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CAT Formulas
Quadratic Equations
Roots Decreased by a Constant
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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