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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    If, \[x,\frac{1}{x}=4,\]then \[\left( x+\frac{1}{x} \right)\]equal to     

    A)     \[5\sqrt{2}\]

    B)  \[2\sqrt{5}\]

    C)  \[4\sqrt{2}\]

    D)  \[4\sqrt{5}\]

    Correct Answer: B

    Solution :

    \[x-\frac{1}{x}=4\]                                (Given) \[\therefore \]      \[{{\left( x+\frac{1}{x} \right)}^{2}}={{\left( x-\frac{1}{x} \right)}^{2}}+4={{(4)}^{2}}+4=20\] \[\Rightarrow \]   \[x+\frac{1}{x}=\sqrt{20}=2\sqrt{5}\]


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