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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 ______.
Options
`2/5`
`1/10`
4
`-2/5`
MCQ
Fill in the Blanks
Solution
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`
shaalaa.com
Sum and Product of Root
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