The discussion focuses on isolating the variable "Ru" in the equation V/(Vin*R)=(1/(R+Ru*k))-(1/(R+Ru)). Participants emphasize the necessity of eliminating Ru from the denominators and suggest using the Quadratic Formula to solve the resulting quadratic equation. Key steps include combining the right-hand side into a single fraction and rearranging the equation into a standard quadratic form. The final consensus is that while the process can be complex, it ultimately leads to a clean solution.
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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.