Question

If a, p are the zeroes of the polynomial 6y-2 + y, then the value of alpha/ beta + beta / alpha

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Answer 1

Answer:

-25/12

Step-by-step explanation:

given α, β are zero of polynomial

and by polynomial we can say

α×β = c/a = -2/6 = -1/3

α+β = -b/a = -1/6

so,

α/β + β/α

= (α^2 + β^2)/αβ

= [ (α+β)^2 - 2αβ ] / αβ

= [ (-1/6)^2 - 2(-1/3) ] / -1/3

= ( 1/36 + 2/3 ) / -1/3

= 25/36 × -3/1

= -25/12

hope this helps you