IOM 2021, Блиц — Задача 25

The Blitz-contest of IOM-2021

Условие

Real numbers $a$ and $b$ are the components of a $2$-dimensional vector $V$ and satisfy the following system of equations:

Find all such vectors $V$. Give all different squares of their absolute values (i.e., values of $|V|^2$) as answers.

If the answer is a fraction, it can be entered either as a decimal fraction or as a ratio “$r/s$”. Rounding is not allowed.
If there are multiple answers, they should be entered each in its own field; add more fields with the “+” button.

Отговори

Решение

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Оригинал в Архива: iom-2021-blitz-tasks-eng.pdf · официални решения: iom-2021-blitz-answers-eng.pdf