Question

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

Answer 1

Answer:

15/4

Step-by-step explanation:

to find: 1/α+1/β-αβ

x²-x-4

ax²-bx+c

α+β=-b/a

αβ=c/a

α+β= -(-1)/1= 1

αβ= -4/1= -4

now,

1/α+1/β-αβ= (α+β)/αβ - αβ

1/-4 - (-4)

-1/4 + 4

(-1+16)/4

15/4

Answer 2

Answer:

Step-by-step explanation: