Question

Sum of a fraction and thrice of its reciprocal is 73/20. what is the fraction

Answer 1

Let the fraction be x then its reciprocal is 1/x.
Then according to question,
x+3/x=73/20
or,x²+3=73x/20
multiplying the equation by 20 we get
20x²+60=73x
or,20x²-73x+60=0
Now by using quadratic formula
x=73±√(73²-4 x 80 x 60)/40
or,x=73±23/40
or,x=96/40 or x=50/40
or,x=12/5 or x=5/4

Cheers!