Question

Решите систему уравнений!​

Answer 1

1

Пошаговое объяснение:

$\left \{ {{xy=2} \atop {x-y=0}} \right.$

$\left \{ {{y*y=5} \atop {x=y}} \right.$

$\left \{ {{y=-\sqrt{5} } \atop {x=-\sqrt{5} }} \right.$

И

$\left \{ {{y=\sqrt{5} } \atop {x=\sqrt{5} }} \right.$

Answer 2

$\begin{equation*}\begin{cases}xy = 5\\x - y = 0\end{cases}\end{equation*}\ \ \ \Leftrightarrow\ \begin{equation*}\begin{cases}y^2 = 5\\x = y\end{cases}\end{equation*}\ \ \ \Leftrightarrow\ \left[\begin{gathered}\begin{equation*}\begin{cases}y = \sqrt{5}\\x = y\end{cases}\\\begin{equation*}\begin{cases}y = -\sqrt{5}\\x = y\end{cases}\\\end{gathered}\ \ \ \Leftrightarrow\$    $\ \ \ \ \left[\begin{gathered}\begin{equation*}\begin{cases}y = \sqrt{5}\\x = \sqrt{5}\end{cases}\\\begin{equation*}\begin{cases}y = -\sqrt{5}\\x = -\sqrt{5}\end{cases}\end{gathered}$

ответ: $\left(\sqrt{5};\ \sqrt{5}\right);\ \left(-\sqrt{5};\ -\sqrt{5}\right)$.