Linearly quadratic
Algebra
Level
5
Given: \[x+y+z=4\]
\[x^2+y^2+z^2=6\]
for real numbers \(x,y\) and \(z\). If the exhaustive range of values that \(x\) can take is given by \([\alpha ,\beta]\), find \(6(\alpha +\beta)\).
by
Raghav Vaidyanathan