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    Find the value of xxx​ if 52x=169289\frac{52}{x}=\sqrt\frac{169}{289}x52​=289169​​​​
    Question

    Find the value of xx​ if 52x=169289\frac{52}{x}=\sqrt\frac{169}{289}​​

    A.

    68

    B.

    58

    C.

    62

    D.

    52

    Correct option is A

    Given:

    52x=169289\frac{52}{x} = \sqrt{\frac{169}{289}}​​

    Solution:

    52x=169289=1317\frac{52}{x} = \frac{\sqrt{169}}{\sqrt{289}} = \frac{13}{17}​​

    x = 52×1713\frac{52\times 17}{13}​​

    x = 68

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