Komplexe Zahlen (Ergebnisse)

1. 1. 8 + 4i; 6 - 2i
   2. 5 + i; 3 + 5i
   3. 10 - 2i; 4 - 6i
   4. 3 - 3i; 7 - 11i
   5. -5 + 3i; -1 + 7i
   6. 0,6 + 2,3i; -0,6 + 0,7i

2. 1. 4 + 22i
   2. 10 - 5i
   3. 29 + 2i
   4. 18 + 34i
   5. 16 - 4i
   6. -1,2 + 0,9i

3. 1. 1 - 2i
   2. -0,4 + 2,2i
   3. 1 - 2i
   4. -1,9 - 0,3i
   5. -0,5 - 2i
   6. 1,2 + 0,9i

4. 1. 8 + 6i
   2. -24 - 10i
   3. 2 + 11i
   4. -9 - 46i

5. 1. {±4i}
   2. {±2,5i}
   3. {2 ± i}
   4. {-3 ± 2i}
   5. {-0,5 ± 3,5i}
   6. {1,2 ± 1,6i}
   7. {4 ± 2i}
   8. {±6i}

6. 1. {1, -0,5 ± 0,866i}
   2. {-1, 0,5 ± 0,866i}
   3. {2, 1 ± 2i}
   4. {-1, 3 ± i}
   5. {1, -2 ± 0,5i}
   6. {2, -¹/₃ ± i}

7. 1. (5; 36,87°)
   2. (13; 112,62°)
   3. (2,828; 225°)
   4. (3,162; 341,57°)
   5. (11,180; 79,70°)
   6. (2; 120°)

8. 1. 3i
   2. -5
   3. 1,732 + i
   4. -2,828 + 2,828i
   5. -0,6 - 0,8i
   6. 2,4 - i

9. 1. {(2; 30° + k·120°)} = {±1,732 + i, -2i}
   2. {(2,236; 26,57° + k·120°)} = {2 + i, -1,866 + 1,232i, -0,134 - 2,232i}
   3. {(1,414; 45° + k·90°)} = {1 + i, -1 + i, -1 - i, 1 - i}
   4. {(2,236; 26,57° + k·90°)} = {2 + i, -1 + 2i, -2 - i, 1 - 2i}
   5. {(1; k·72°)} = {1, 0,309 ± 0,951i, -0,809 ± 0,588i}
   6. {(1; 30° + k·60°)} = {0,866 ± 0,5i, ±i, -0,866 ± 0,5i}

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