Question

if alpha + beta are zeroes and the quadratic polynomail f(x) =x²-x-4 then the value of 1/alpha + 1/beta -aplha beta is ​

Answer 1

Explanation:

D=b²-4ac

D=(-1)²-4×1×-4

D=1+16

D=17

-b+-√b²-4ac/2a

-b+√D/2a

-1+√17/2

-b-√D/2a

-1-√17/2

1/alpha+1/beta-alpha•beta

LCM = alpha•beta

Alpha+beta/alpha•beta-alpha•beta

alpha+beta=-b/a

-(-1)/1 = 1

alpha•beta=c/a

-4/1= -4

1/-4+4

-1+16/4 =15/4

Your answer is = 15/4