Question

if alpha ,beta are zeroes of the polynomial 2x^2-5x-4 then 1\alpha + 1\beta = ?​

Answer 1

Answer:

1/α+1/β = -5/4

expln:-

f(x) = 2x²-5x-4

α+β = 5/2 αβ = -2

Qn:-

1/α+1/β = (α+β)/αβ

= 5/2 / -2

= -5/4