Question

7
The sum of a numbers is 5 and Sum
of their deciprocals is 516 Express
this in a form of quadratic equation​

Answer 1

Answer:

let,numbers=x,y

=>x+y=5-----------------(1)

1/x+1/y=516--------------(2)

from (2)

=>x+y/xy=516

=>5/xy=516

=>xy=5/516

square on eq (1)

=>(x+y)^2=5^2

=>x^2+y^2+2.x.y=25

=>x^2+y^2+2.5/516=25

=>x^2+y^2+10/516=25

=>x^2+y^2=25-10/516

=>x^2+y^2=12890/516