Question

If alpha and beta are zeroes of polynomial f(x)= x^2-5x+4, find the value of 1/alpha + 1/beta -2×alpha×beta​

Answer 1

Answer:

-27/4

Step-by-step explanation:

x²-5x+4

=x²-x-4x+4

=x(x-1)-4(x-1)

=(x-1)(x-4)

so the two roots are 1,4

let alpha =1, beta=4

then

1/1+1/4-2×1×4

=1+1/4-8

=1/4-7

= -27/4