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.
\( [x,y] \in\left\{[4,1],[1,4]\right\} \)
\( [x,y]\in\left\{[6,1],[9,4]\right\} \)
\( [x,y]\in\left\{[4,9],[1,6]\right\} \)
\([x,y]\in\left\{[-4,9],[-1,6]\right\} \)
\( [x,y]\in\left\{[6,-1],[9,-4]\right\} \)