Question

sum of a fraction and thrice of its reciprocal is
$73 \div 20$
what is its fraction ​

Answer 1

By conditLet fraction be x

hence

$x + \frac{3}{x} = \frac{73}{20 } \\ 20 {x}^{2} + 60 = 73x \\ 20 {x}^{2} - 73x + 60 = 0$

Solving. this we get

$x = \frac{12}{5} \\ \\ or \\ \\ \\ x = \frac{5}{4}$