Question

If alpha and beta are the zeroes of the polynomial f(x)= x²-5x+4, then the value of 1/beta + 1/alpha -2alpha beta?

Answer 1

Answer:

-27/4

Step-by-step explanation:

f(x)=x²-5x+4

α,β are zeros of f(x)

hence α+β=-(-5/1)=5,αβ=4/1=4

1/α+1/β-2αβ

=1/αβ(β+α-2α²β²)

=1/4*[5-2(4)²]

=1/4*(5-32)

=-27/4

αβ²