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Question

If α, β are the roots of ∣ ∣x120111x2∣ ∣ = 0 then αn+βn=?

A
0
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B
1
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C
2
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D
2n
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Solution

The correct option is B 2
∣ ∣x120111x2∣ ∣=0
So, x(2x)1(1)+2(1)=0
2xx21=0
x22x+1=0
x=1
So, Given that α,β are roots of x22x+1=0
So, α=β=1
So, αn+βn=2

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