Problems Section: Problems 551 - 562

Q.551 Solve the system of equations
\begin{align*}u^2 + v^2 +w^2 & = 49 \\
\frac{1}{u} +\frac{1}{v}+\frac{1}{w} & = 0 \\
u - v + w & = 1\end{align*}