2010013305

Level: 
Project ID: 
2010013305
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
The number \(\sqrt{2}\left(\cos \frac{3\pi} {4} + \mathrm{i}\sin \frac{3\pi} {4}\right) \) is a solution of a quadratic equation with real valued coefficients. Find the second solution.
\(\sqrt{2}\left(\cos \frac{5\pi} {4} + \mathrm{i}\sin \frac{5\pi} {4}\right) \)
\(\sqrt{2}\left(\cos \frac{\pi} {4} + \mathrm{i}\sin \frac{\pi} {4}\right) \)
\(\sqrt{2}\left(\cos \frac{7\pi} {4} + \mathrm{i}\sin \frac{7\pi} {4}\right) \)
\(\sqrt{2}\left(\cos \frac{3\pi} {4} + \mathrm{i}\sin \frac{3\pi} {4}\right) \)