Question

If 1/x + 1/y = 1/10 and x,y are integers then find x,y

Answer 1

Answer:

1/x+1/y=1/10

x+y/xy=1/10

therefore

x+y=1xk

=k

and

xy=10k

y=10k/x

now substituting the value of 'y' in x+y=k

x+10k/x=k

x^2+10k=kx

x^2-kx+10k=o