Question

If α, β are the zeros of the polynomial x² + 6x + 2 then `(1/α + 1/β) = ?`

Options

• 3

• –3

• 12

• –12

Answer 1

–3

Explanation:

α + β = –6 and αβ = 2.

∴ `(1/α + 1/β) = ((α + β)/(αβ))`

= `(-6)/2`

= –3