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MathNet 2014 Question 100

Math Olympiad Vault · MathNet 2014

Question 100

For real numbers $a,b$ with $|a|\ne|b|$ and $a\ne0$,


$$
\frac{a-b}{a^2+ab}+\frac{a+b}{a^2-ab}=\frac{3a-b}{a^2-b^2}.
$$


Determine the value of $\frac ba$.