aaa
sss: zespolone
z
2 + (3+2i)z + 2 + 2i = 0
Δ = 9 + 12i −4 − 4(2+2i) = −3 + 4i
√−3 + 4i = z
0
x + yi =
√−3 + 4i /
2
x
2 + 2xyi − y
2 = −3 + 4i
x
2 − y
2 = −3
2xy = 4
x
2 + y
2 = 5 (moduł)
1 i 3 równanie biorę
2x
2 = 2
x
2 = 1
x = 1
y = 2
x = −1
y = −2
√Δ = 1 + 2i , −1 − 2i
| | −3 − 2i + 1 + 2i | |
z1 = |
| = −1 |
| | 2 | |
| | −2 −2i − 1 − 2i | |
z2 = |
| = −2 −2i |
| | 2 | |