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JEE Main & Advanced JEE Main Solved Paper-2016

  • question_answer
    The sum of all real values of x satisfying the equation \[{{\left( {{x}^{2}}-5x+5 \right)}^{{{x}^{2}}+4x-60}}=1\]is :- [JEE Main Solved Paper-2016 ]

    A) 5                                             

    B)  3

    C) - 4                                         

    D) 6

    Correct Answer: B

    Solution :

                    \[{{x}^{2}}5x+5=1\Rightarrow x=1,4\]                 \[{{x}^{2}}-5x+5=-1\Rightarrow x=2,3\] but 3 is rejected \[{{x}^{2}}+4x-60=0\Rightarrow x=-10,6\]Sum = 3


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