Question

If α, β, γ, δ are roots of x⁴ – 100x³ + 2x² + 4x + 10 = 0, then `1/α + 1/β + 1/γ + 1/δ` is equal to ______.

विकल्प

• `2/5`

• `1/10`

• 4

• `-2/5`

Answer 1

If α, β, γ, δ are roots of x⁴ – 100x³ + 2x² + 4x + 10 = 0, then `1/α + 1/β + 1/γ + 1/δ` is equal to `underlinebb(-2/5)`.

Explanation:

α, β, γ, δ are roots of x⁴ – 100x³ + 2x² + 4x + 10 = 0

= `1/α + 1/β + 1/γ + 1/δ`

= `(sumαβγ)/(αβγδ)`

= `-4/10`

= `-2/5`