If x²+9/x² =31,what is the value of (x-3/x)?

A 36

B 25

C 9

D 5

Solution

Correct Answer: Option D

দেওয়া আছে , x²+9/x² =31
                 বা,(x)² +(3/x)² =31
                বা,(x-3/x)² +2×x × 3/x =31
                বা, (x-+6=31
               বা,(x-3/x)²=25
∴ (x-3/x )=√25 =5

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