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NMTC 2015

Algebra Level 4

$a,b,c,d,e$ are real numbers such that
$a+4b+9c+16d+25e=1$
$4a+9b+16c+25d+36e=8$
$9a+16b+25c+36d+49e=23$ .
Then the value of $a+b+c+d+e$ is

Source: NMTC 2015 Inter Level.

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by Shivam Jadhav

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