Question

if alpha and beta are the zeroes of the quadratic polynomial f(x)=4x2-5x-1, then find the value of 1/alpha - 1/beta

Answer 1

Step-by-step explanation:

alpha + beta = 5/4

alpha*beta = -1/4

alpha - beta = √(5/4)²-4(-1/4)

= √(25/16 + 1

= √41/4

1/alpha - 1/beta = beta - alpha / alpha*beta

= -√41/-1 = √41