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Question

If α, β are the roots of the equation x2+x+2=0, then what is α10+β10α10+β10 equal to?

A
4096
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B
2048
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C
1024
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D
512
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Solution

The correct option is C 1024
Now α,β are the roots of the equation so
α+β=1 αβ=2

α10+β101α10+1β10=α10β10=(αβ)10

=(2)10
=1024
Hence, C is correct.

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