Find the Range!

Algebra Level 4

If \(a,b,c,d,e\) are positive real numbers, such that \(a+b+c+d+e=8\) and \(a^2+b^2+c^2+d^2+e^2=16\), then \(e \in [0,\dfrac p q]\)


Note : If p=24, q= 49 , then the answer should be 2449

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