Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?
5/4
Let the fraction be \(x\). Then \(x + \dfrac{3}{x} = \dfrac{73}{20}\).
Multiplying by \(20x\):
\[20x^2 - 73x + 60 = 0\]
Factoring: \((4x - 5)(5x - 12) = 0\), giving \(x = \dfrac{5}{4}\) or \(x = \dfrac{12}{5}\).
Among the options, only 5/4 appears. Check: \(\dfrac{5}{4} + 3 \cdot \dfrac{4}{5} = \dfrac{25}{20} + \dfrac{48}{20} = \dfrac{73}{20}\). ✓
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