Inspired by Comrade Otto Bretscher

Algebra Level 5

\[f_{a}(x,y,z)=ax^2+2ay^2+15z^2+axy+2ayz+15zx+x+2y+3z+10 \]

If the function above attains a global minima for some \(a\), submit your answer as \(10a\).

If the value of \(a\) is bounded in the form \(a\in(p,q)\) when the function attains its global minima, submit \(p+q\).

If you come to the conclusion that no global minima exists, enter 666.


Problem Loading...

Note Loading...

Set Loading...