simple quadratic equation question

If I want to solve for "q" will the quadratic equation apply to the following equation?




And what about if q contains k? I.e.

Would it still work?

There's no reason why not. And it can contain k if it likes, it can contain anything you want, I'm fairly sure.

You'll probably get something fearsomely unwieldy, but that's what makes this sort of mental gymnastics such fun.