91- 6303239042
Roots Shifted 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 added to each root.
Sign in
Please select an account to continue using cracku.in
↓ →
Roots Shifted 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 added to each root.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation
