Question

If alpha and beta are the zeroes of the polynomial x^2+5x+6. Find the value of alpha ^-1 + beta^-1

Answer 1

Answer:

- 5/6

Step-by-step explanation:

Let alpha and beta be 'a' and 'b'..

1/a + 1/b = (a + b)/ab (equation 1)

We know the sum of roots and product of a quadratic equation ( ax^2 + bx + c )

Is, sum of roots = -b/a

Product of roots = c/a

So here, a + b = -5

ab = 6

Hence, from equation 1,

(a + b)/ab = -5/6

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