Level:
Project ID:
2010013202
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
One of the roots of the equation \( x^{2} + px - 8 = 0\) with the parameter \(p\in \mathbb{C}\) is \(x_{1} = \sqrt{7} +\mathrm{i}\). Find the second root \(x_{2}\) and the corresponding value of the parameter \(p\).
\(x_{2} = \mathrm{i}-\sqrt{7},\ p = -2\mathrm{i}\)
\(x_{2} = -\mathrm{i}-\sqrt{7},\ p = 2\mathrm{i}\)
\(x_{2} = -\mathrm{i}+\sqrt{7},\ p = 2\mathrm{i}\)
\(x_{2} = -\mathrm{i}-\sqrt{7},\ p = 4\mathrm{i}\)