Question

if alpha and betaare zeros of polynomial x^2 -6x +a find a 3*alpha+2*beta =20

Answer 1

hey mate

here is your answer..

Answer:

we know

alpha+beta=-b/a

=-(-6)/1

=6

and given:

3*alpha +2*beta=20

on solving these two equations,

we get,

beta=-2

and alpha=8

we know,

alpha*beta=c/a

8*-2=a/1. (here constant term =a)

a=-16. (answer)