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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 number of roots of the equation \[|x{{|}^{2}}-7|x|+12=0\] is [MNR 1995]

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: D

    Solution :

    The equation \[(|x|-4)(|x|-3)=0\] Þ  \[|x|=4\,\,\Rightarrow x=\pm 4\] Þ \[|x|=3\,\,\Rightarrow x=\pm 3\]


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