Multiple Choice Questions on If x 1 x 2 then what is the value of x64 x121 ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

If x 1 x 2 then what is the value of x64 x121 ........

Quantitative Aptitude (CGL) Algebra
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    If x + (1/x) = 2, then what is the value of x64 + x121?

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    Explanation:

    x+1/x=2
    x²+1=2x
    x²-2x+1=0
    x²-x-x+1=0
    x(x-1)-1(x-1)=0
    (x-1)(x-1)=0
    (x-1)²=0
    x-1=0
    x=1
    Therefore,
    x^64+x^121
    =(1)64+(1)121
    =1+1
    =2.

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