Trei ecuatii diofantice.
Posted: Tue Sep 21, 2010 1:23 pm
Sa se rezolve peste \( \mathbb N^* \) ecuatiile : \( \left\|\begin{array}{cc}
1. & \frac 1a+\frac 1b+\frac 1c=1\\\\\\\\
2. & \frac 1a+\frac 1b+\frac 1c+\frac 1d=1\\\\\\\\
3. & \frac 1a+\frac 1b+\frac 1c+\frac 1d+\frac 1e=1\end{array}\right\| \)
1. & \frac 1a+\frac 1b+\frac 1c=1\\\\\\\\
2. & \frac 1a+\frac 1b+\frac 1c+\frac 1d=1\\\\\\\\
3. & \frac 1a+\frac 1b+\frac 1c+\frac 1d+\frac 1e=1\end{array}\right\| \)