If are the roots of and are the roots of

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

\alpha,\beta

are the roots of

x^2-3x+5=0

and

\gamma,\delta

are the roots of

x^2+5x-3=0

, then the equation whose roots are

\alpha\gamma+\beta\delta

and

\alpha\delta+\beta\gamma

is (1)

x^2-15x-158=0

(2)

x^2+15x-158=0

(3)

x^2-15x+158=0

(4)

x^2+15x+158=0