There is more than one root of all evil

Algebra Level 2

Given that \(x_{1}\) and \(x_{2}\) are the roots to the following polynomial \(4x^{2}-32x-k=0,\) and \(x_{1}\)+\(x_{2}\)=8, and |\(x_{1}\)\(x_{2}\)| = 345, find the value of \(|k|\).

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