Question

10. The denominator of a positive fraction is one
more than twice the numerator. If the sum of
the fraction and its reciprocal is 2.9; find the
fraction.​

Answer 1

Answer:

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Answer 2

Let the required fraction be x/2x+1

from the given information

x/2x+1+2x+1/x=2.9

x²+4x²+1+4x/x(2x+1)=29/10

5x²+4x+1/2x²+x=29/10

50x²+10+40x=58x²+29x

8x²-11-10=0

x=11+_root121+320/16

x=11+_21/16

x=2, 5/8