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Omni-MATH / Given that a,b,c,d,e are real numbers such that

Problem

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problem

Given that

a,b,c,d,e

are real numbers such that

a+b+c+d+e=8

a^2+b^2+c^2+d^2+e^2=16

. Determine the maximum value of

e

Plain-text mathematical notation (without MathML)

Given that a,b,c,d,e are real numbers such that
a+b+c+d+e=8 ,
a²+b²+c²+d²+e²=16 .
Determine the maximum value of e .

Original LaTeX notation

Given that $a,b,c,d,e$ are real numbers such that
$a+b+c+d+e=8$ ,
$a^2+b^2+c^2+d^2+e^2=16$ .
Determine the maximum value of $e$ .

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task_id: f785bfd1-60d8-589c-8937-2511d668fcf7
task_key: test--f785bfd1-60d8-589c-8937-2511d668fcf7
task_revision_id: 4
config / split: / test

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