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

  • question_answer
    The roots of the equation \[i{{x}^{2}}-4x-4i=0\] are

    A) \[-2i\]

    B) \[2i\]

    C) \[-2i,-2i\]

    D) \[2i,2i\]

    Correct Answer: C

    Solution :

    We have \[i{{x}^{2}}-4x-4i=0\] Þ \[{{x}^{2}}+4ix-4=0\]Þ \[{{x}^{2}}+2ix+2ix-4=0\] Þ \[(x+2i)(x+2i)=0\]Þ \[x=-2i,\,\,-2i\].


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