Question

if alpha and beta are the zeroes of the quadratic polynomial f(x)=x^-4x+3 find the value of alpha​

Answer 1

sum=-4

product =3

so the only set of no.s that satisfy above is -1,-3

x^2-x-3x+3=0

taking common factors

x(x-1)-3(x-1)=0

(x-1)(x-3)=0

if it has to be 0 either of then have to be zero. equating both to 0

x=1and x=3

hence alpha can be 1,3