10th Class Mathematics Quadratic Equations Question Bank Quadratic Equation

  • question_answer
    Find the value of\[\sqrt{20+\sqrt{20+\sqrt{20+....upto\infty }}}\]

    A)  5         

    B)  -4            

    C)  Either (a) or (b)             

    D)  6

    Correct Answer: A

    Solution :

    (a): \[x=\text{ }\sqrt{20+x}\] \[{{x}^{2}}-x-20=0\] \[(x-5)(x+4)=0\] \[x=5\] or \[-\,4\] But x must be positive. \[\therefore x=5\]                       


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