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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 real roots of the equation \[{{x}^{2}}+5|x|+\,\,4=0\] are  [UPSEAT 1993, 99; Orissa JEE 2004]

    A) - 1, 4

    B) 1, 4

    C) - 4, 4

    D) None of these

    Correct Answer: D

    Solution :

    \[{{x}^{2}}+5|x|+\,4=0\] \[\Rightarrow \,|x{{|}^{2}}+5|x|+\,4=0\] Þ \[|x|\,=-1,-4\], which is not possible. Hence, the given equation has no real root.


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