Classic Algebric Problem

Algebra Level 5

IF

\[x+y+z=4\]

\[x^2+y^2+z^2=6\]

for real numbers \(x,y\) and \(z\). If the exhaustive range of values that \(x\) can take is given by \([\gamma ,\delta]\), find \(12(\gamma +\delta)\)

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