2010013104

Level: 
Project ID: 
2010013104
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
Let \( [x;y]\in\mathbb{R}\times\mathbb{R} \), \( z_1 = -2 + xy\,\mathrm{i} \) and \( z_2 = x + y + 8\,\mathrm{i}\). Find all \( [x;y] \) such that \( z_1 \) and \( z_2 \) are the opposite numbers.
\( [x;y] \in\left\{[4;-2],[-2;4]\right\} \)
\( [x;y] \in \left\{[4;-2]\right\} \)
\( [x;y] \in\left\{[-4;2],[2;-4]\right\} \)
\( [x;y] \in \left\{[-2;4]\right\} \)