JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic equations and Nature of roots

  • question_answer
    The solution of the equation \[x+\frac{1}{x}=2\] will be [MNR 1983]

    A) 2, -1

    B) 0, -1, \[-\frac{1}{5}\]

    C) \[-1,-\frac{1}{5}\]

    D) None of these

    Correct Answer: D

    Solution :

    \[x+\frac{1}{x}=2\,\,\Rightarrow \,\,x+\frac{1}{x}-2=0\]\[(\because x\ne 0)\] Þ \[{{x}^{2}}-2x+1=0\]Þ\[{{(x-1)}^{2}}=0\]Þ \[x=1,1\].


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