I have a quadratic form which I have mostly completed the square but I am stuck at the final stage.
Currently it is in the form:
$\frac{1}{2}\left(x+4y\right)^2+4\left(y+z\right)^2+\frac{1}{2}\left(x+2z\right)^2-6y^2-5z^2$
I'm hoping to get in the form :
$\left(x+a\right)^2+\left(y+b\right)^2+\left(z+c\right)^2$ with a change of variables so I guess it will more be $x'^2+y'^2+z'^2$.