# Find the Range!

Algebra Level 5

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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