The discussion revolves around the algebraic manipulation of the equation V/(Vin*R)=(1/(R+Ru*k))-(1/(R+Ru)), specifically focusing on isolating the term "Ru". Participants explore various methods to rearrange the equation, with an emphasis on achieving a quadratic form.
Participants generally agree on the need to manipulate the equation into a quadratic form, but there is no consensus on the specific methods or the perceived complexity of the approaches.
Participants mention the complexity and messiness of the algebraic manipulation, indicating that the process may involve multiple steps and assumptions that are not fully detailed in the discussion.
tkhunny said:Well, what did you do first? You'll have to get Ru out of the denominators.
Two different denominators? I'm guessing you'll need your Quadratic Formula. Can you figure out which solution will be acceptable?
While you were able to see it more quickly, I've finally come to the same conclusion. I was able to put the equation in a quadratic form, equal to zero. Thank you for your help.Joppy said:Welcome to MHB!
Hint: I would try grouping the RHS into a single fraction (find a common denominator), and then 'crank the handle'. i.e. multiply and group terms, you should end up with a quadratic in $R_{\rm u}$.
Edit: whoops, tkhunny beat me to it!
Outdoors said:While you were able to see it more quickly, I've finally come to the same conclusion. I was able to put the equation in a quadratic form, equal to zero. Thank you for your help.
All the previous approaches were messy. The approach that led to the quadratic form was clean. It all took way too long though. Rusty I guess.tkhunny said:Good work! Was it messier than you expected?
Perfect. Hang in there. You're getting back up to speed already!Outdoors said:All the previous approaches were messy. The approach that led to the quadratic form was clean. It all took way too long though. Rusty I guess.