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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, |
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Answer» Correct Answer - `(2)/(5)` Let the required fraction be `(a)/((a+3))`. Then, `(a)/((a+3))+((a+3))/(a)=(29)/(10)implies10[a^(2)+(a+3)^(2)]=29a(a+3)` `implies9a^(2)+27a-90=0impliesa^(2)+3a-10=0.` |
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