Časť:
Project ID:
2010013202
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Rovnica
\[
x^{2} + px - 8 = 0
\]
s parametrom \(p\in \mathbb{C}\)
má jeden koreň \(x_{1} = \sqrt{7} +\mathrm{i}\). Nájdite druhý koreň
\(x_{2}\)
a parameter \(p\).
\(x_{2} = \mathrm{i}-\sqrt{7},\ p = -2\mathrm{i}\)
\(x_{2} = -\mathrm{i}-\sqrt{7},\ p = 2\mathrm{i}\)
\(x_{2} = -\mathrm{i}+\sqrt{7},\ p = 2\mathrm{i}\)
\(x_{2} = -\mathrm{i}-\sqrt{7},\ p = 4\mathrm{i}\)