Transformed Roots: Scaled Roots

Rarely Tested

Transformed Roots: Scaled Roots

## Formula

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

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

then $k\alpha,k\beta$ are roots of:

$$x^2+k\frac ba x+k^2\frac ca=0$$

or equivalently:

$$ax^2+bkx+ck^2=0$$

where:

$$k\ne0$$

## Usage

- Used when each root is multiplied by a constant.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.