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9th Class Mathematics Polynomials Question Bank Polynomials

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

    A)  \[2\sqrt{2}\]                             

    B)  \[\sqrt{6}\]           

    C)  \[2\sqrt{3}\]   

    D)  \[3\sqrt{2}\]

    Correct Answer: C

    Solution :

    (c): \[{{\left( x-\frac{1}{x} \right)}^{2}}={{\left( x+\frac{1}{x} \right)}^{2}}-4=16-4=12\] \[\therefore x-\frac{1}{x}=2\sqrt{3}\]                              


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