Question

if alpha and bita are zeroes of the polynomial 2x2-5x-4 then 1/alpha+1/bita=?​

Answer 1

alpha= -b/a

bita= c/a

2×2 - 5×-4

-b/a= -2/2= -1

c/a= -5/2

1/alpha + 1/bita

1/-1 + 1/-5/2

1/-1 + 1/-5/2/1

1/-1 + 1/-5 × 1/2

1/-1 + 1/-10

10 + 10 20

_______= _______= -2

-10 -10

Answer 2

Answer:

-5

Step-by-step explanation:

2x² - 5x -4

a = 2, b = -5, c = -4

Sum of zeros = -b/a

alpha + beta = -(-5)/2 = 5/2

product of zeros = c/a

alpha.beta = -4/2 = -2

therefore, 1/alpha + 1/beta

= alpha + beta/alpha x beta = 5/2/-2

= -5