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4-Participant
Oct 20, 2023 11:09 AM UTC
Solved

Solve to a ratio

Hello all,
I want to solve a formula symbolically according to a ratio.
Here is a simple example:

PB_10827347_1-1697798507724.png

Does anyone have an idea how I can solve this?

I use Mathcad Prime 9.

 

Greetings

Philip

 

ttokoro
ttokoroAnswer
21-Topaz I
Oct 20, 2023 12:07 PM UTC

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image.png

t.t.

4 replies

ttokoro
ttokoro21-Topaz IAnswer
21-Topaz I
Oct 20, 2023 12:07 PM UTC

image.png

image.png

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t.t.
4-Participant
Oct 20, 2023 12:35 PM UTC

Thank you very much.

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Werner_E
25-Diamond I
Oct 20, 2023 8:01 PM UTC

Here are my 2 cents for a more generic solution - similar to ttokoros's second approach, but without having to solve   a system of equations.

"simplify" is not necessary for this simple equation, but the approach should work for more a more complex equation, too, if a solution for the ratio is possible at all. If no solution is possible, the result still would contain the variable U1.

Werner_E_0-1697832027853.png

 

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4-Participant
Oct 25, 2023 5:38 AM UTC

Thank you very much. I like this solution.

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