Question

what is product of a fraction and thrice of its reciprocal

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Let the fraction = x

According to question,

x+3x=7320=>x2+3x=7320

=>20x2+60=73x

=>20x2−73+60=0

=>20x2−48x−25x+60=0

=>4x(5x−12)−5(5x−12)=0

=>(4x−5)(5x−12)=0=>x=54