I need to optimise a couple of equations.
I want maximum S for minimum x.
S = ( (j) / (j + 0.5*w) )^2 [Eqn 1]
x = (const) * (j / w) [Eqn 2]
The Attempt at a Solution
I've tried to re-arrange [Eqn 1] to make j the subject but I cannot. I get:
((j)^2) * ( 1 - S + ((S*w)/j) ) = (S*(w^2))/4
I thought that if I rearrange both equations for j or w and set them equal to each other then I can try to find the min/max of the equation (for the other variable).
Any ideas/help please?
**Edit Oops... posted in the wrong forum sub category. This is not homework nor coursework. This is a personal project. Either way, I could do with some help :-)