Level:
Project ID:
1003082305
Source Problem:
Accepted:
1
Clonable:
0
Easy:
0
Let \( [x;y]\in\mathbb{R}\times\mathbb{R} \), \( z_1 = 5 + xy\,\mathrm{i} \) and \( z_2 = x + y - 4\,\mathrm{i} \). Find all \( [x;y] \) such that \( z_1 \) and \( z_2 \) are the complex conjugates.
\( [x;y] \in\left\{[4;1],[1;4]\right\} \)
\( [x;y]\in\left\{[6;1],[9;4]\right\} \)
\( [x;y]\in\left\{[4;9],[1;6]\right\} \)
\([x;y]\in\left\{[-4;9],[-1;6]\right\} \)
\( [x;y]\in\left\{[6;-1],[9;-4]\right\} \)