MathReference -
Problems
MR-148 / 7. problem
All Problems
Source:
Vene T. Bogoslavov: Collection of Solved Problems #1 - 7..)
Algebra → Complex numbers → Complex problems
f
(
z
)
=
-
z
3
+
3
z
2
+
z
+
2
f
(
3
+
2
i
)
=
?
f
(
3
+
2
i
)
=
-
3
+
2
i
3
+
3
3
+
2
i
2
+
3
+
2
i
+
2
=
-
27
+
3
·
3
2
·
2
i
+
3
·
3
·
2
i
2
+
2
i
3
+
3
·
9
+
2
·
3
·
2
i
+
2
i
2
+
3
+
2
i
+
2
=
-
27
+
54
i
+
9
·
4
i
2
+
8
i
3
+
3
·
9
+
12
i
+
4
i
2
+
3
+
2
i
+
2
=
-
27
-
54
i
-
36
-
1
-
8
-
i
+
27
+
36
i
+
12
(
-
1
)
+
3
+
2
i
+
2
=
+
36
-
12
+
3
+
2
+
(
-
54
+
8
+
36
+
2
)
i
=
29
-
8
i
f
(
3
+
2
i
)
=
29
-
8
i
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