IOM 2020, Блиц — Задача 33

The Blitz-contest of IOM-2020

Условие

Let $a$ and $b$ be real numbers such that $\frac{ab}{a^2+b^2} = \frac{1}{6}$.

Find the value of $\left(\frac{a^2-b^2}{a^2+b^2}\right)^2$.

Fractional numbers can be entered either as a decimal fraction or as $m/n$.

Отговори

Решение

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Оригинал в Архива: iom-2020-blitz-tasks.pdf · официални решения: iom-2020-blitz-answers.pdf