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VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    The number of real roots of the equation \[{{x}^{4}}+\sqrt{{{x}^{4}}+20}=22\]is

    A)  4               

    B)  2

    C)  0                

    D)  1

    Correct Answer: B

    Solution :

    \[{{x}^{4}}+\sqrt{{{x}^{4}}+20}=22\] \[\Rightarrow \]\[{{x}^{4}}+20+\sqrt{{{x}^{4}}+20}=22+20\] \[\Rightarrow \]\[({{x}^{4}}+20)+\sqrt{{{x}^{4}}+20}=44\] Let \[\sqrt{{{x}^{4}}+20}=y\] \[\therefore \]\[{{y}^{2}}+y-44=0\] Hence, the number of real roots of the equation is 2.


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