Question

if alpha and beta are zeros of polynomial x²+6x+9 , the sum of reciprocals of zeros is?​

Answer 1

Answer:

Let us assume that alpha and beta are the zeros of the polynomial x²+6x+9

a = 1

b = 6

c = 9

alpha + beta = -b/a = -6/1 = -6

alpha x beta = c/a = 9/1 = 9

1/alpha + 1/beta = alpha + beta / alpha x beta ----------> 1

we know alpha + beta = -6 and alpha x beta = 9

so subsutiuting the values on equation 1 we get

= -6 / 9

= -2 / 3

so thus 1/alpha + 1/beta = -2/3

Step-by-step explanation:

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