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2. Then, since the sum of a number and its reciprocal is 25/12.

x+1/x=25/12

3. Multiply 12x to both sides of the equation to get rid of the denominators.

12x(x+1/x)=12x.25/12

12x²+12=25x

4. Subtract 25x to put the equation in quadratic form

12x²+12-25x=25x-25x

12x²-25x+12=0

5. We can use the quadratic formula given as (its given in the file)

where a=12, b=-25, and c=12.