N_1

imaginäre Achse

N_2

z_1

z_2

N_1

reelle Achse

i

2i

3i

4i

-i

- 2 i

- 3 i

- 4 i

Relle Nullstellen:

Komplexe Nullstellen:

Gauß'sche Zahlenebene

e_x = (-0.4, -0.4)
T: (0, 0) - (10 * e_x)
R: (12, 0) - (10 * e_x)
Q: (12, 0) + (10 * e_x)
P: (0, 0) + (10 * e_x)
b = 5 (slider from -5 to 5, step 0.1)
c = 2.3 (slider from -5 to 5, step 0.1)
par(x) = (x - b)^(2) + x - b + c
f'(x) = par'(x)
A = Intersect(f', xAxis)
a = OrthogonalLine(A, xAxis)
Scheitel = Intersect(par, a)
d = 0.25
e_y = (1, 0)
e_z = (0, 1)
B: (4.5, 0) + (10 * e_x)
C: (4.5, 0) - (10 * e_x)
D: (4.5, 0) + (sqrt(c - 0.25) * e_x)
u: (0, 0) + (10 * e_x)
v: (0, 0) - (10 * e_x)
E: (4.5, 0) - (sqrt(c - 0.25) * e_x)
w = Vector((0, 0), D)
z = Vector((0, 0), E)
Vieleck1, e, g, h, i = Polygon(P, Q, R, T)
N, N_2 = Intersect(par, xAxis)
j = Line(D, E)
F: (0, 0) + e_x
G: (0, 0) + (2 * e_x)
H: (0, 0) + (3 * e_x)
I: (0, 0) + (4 * e_x)
J = (0, 0)
K: (0, 0) - e_x
L: (0, 0) - (2 * e_x)
M: (0, 0) - (3 * e_x)
O: (0, 0) - (4 * e_x)
Text2: "x_1 = " + (x(N))
Text3: "x_2 = " + (x(N_2))
Text4: "z_1 = " + 4.5 + " + " + (sqrt(c - 0.25)) + " i"
Text5: "z_2 = " + 4.5 + " - " + (sqrt(c - 0.25)) + " i"