Question 445209
a+(1/a)= b+(1/b)
{{{(a^2+1)/a= (b*2+1)/b}}}
multiply by ab
{{{b(a^2+1)=a(b^2+1)}}}
{{{ba^2+b=ab^2+a}}}
{{{ba^2-ab^2=a-b}}}
ab(a-b)=(a-b)
/(a-b)
ab=1
a=1/b