The roots of the equation are and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

The roots of the equation

-2x^2+5x+1=0

are

\alpha

and

\beta

. (1) Find a quadratic equation with roots

\alpha+2

and

\beta+2

. (2) Find all quadratic equations with roots

\frac{\alpha}{2}

and

\frac{\beta}{2}