Assuming that we are talking about real numbers, the answer is [math]e=\frac{16}{5}[/math].
From the constraint [math]a^2 + b^2 + c^2 + d^2 + e^2 = 16[/math] we know that the set of points in [math]\mathbb{R}^5[/math] satisfying both conditions is bounded. So, we use La...
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