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Question

If α,β are roots of the equation 2x235x+2=0 then the value of (2α35)3(2β35)3 is:

A
1
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B
8
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C
4
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D
64
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Solution

The correct option is C 64
We will substitute α,β in the above equation

2α35+2α=0

2α35=2α

Similarly for beta

(2α35)3(2β35)3=8α3×8β3=641=64

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