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Question

If α,β,γ are roots of x3x21=0 the value of 1+α1α+1+β1β+1+γ1γ=.

A
5
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B
6
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C
1
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D
2
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Solution

The correct option is A 5
Adding and subtracting 1 from each term,
2(11α+11β+11γ)3
The numerator becomes 1 on expanding and hence we are left with,
2(1(1α)(1β)(1γ))3
and again expanding the denominator, we get our final answer as -5

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