MathDB
Problems
Contests
National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
1976 Spain Mathematical Olympiad
5
5
Part of
1976 Spain Mathematical Olympiad
Problems
(1)
z^4 + 4(i + 1)z + 1 = 0
Source: Spanish Mathematical Olympiad 1976 P5
12/23/2022
Show that the equation
z
4
+
4
(
i
+
1
)
z
+
1
=
0
z^4 + 4(i + 1)z + 1 = 0
z
4
+
4
(
i
+
1
)
z
+
1
=
0
has a root in each quadrant of the complex plane.
complex numbers
algebra