You will be amazed with this
Algebra
Level
5
\[\begin{cases} a&+&b&+&c&+&d&+&e&=&8 \\ a^2&+&b^2&+&c^2&+&d^2&+&e^2&=&16 \\ \end{cases} \]
Given that the real numbers \(a, b, c, d, e\) satisfy the system of equations above, find the sum of the maximum and minimum possible value of \(a\).
by
Atul Shivam