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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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