Polynomial Having Reciprocal Roots

Polynomial Having Reciprocal Roots

## Formula

If the roots are:

$$\frac1\alpha,\frac1\beta$$

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

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

then the required equation is:

$$cx^2+bx+a=0$$

## Usage

- Used to construct equations whose roots are reciprocals of the original roots.