Question

Hey, can somebody help me with this step by step? Thank you http://imgur.com/a/loaGh

Answer 1

given
\(\Large \frac{a+1}{b}=\frac{a-1}{b}+\frac{b+1}{a}\)

multiply by ab on both sides and simplify [a\(\ne0\),b\(\ne0\)]
\(\Large a^2+a=a^2-a+b^2+b\)
cancel a^2, isolate a
\(\Large 2a=b^2+b\)
simplify and solve for a