Implementing Catenaries and related curves

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Hello first of all I would just like to say that I wouldn't like the answer I would just like to know the method of doing these kinds of equations, because I have been asked to implement this into a macro for excel and have difficulty understanding them.

an example would be s = 12/x + x

Any help would be greatly appreciated.

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MikeD On BEST ANSWER

Something like this ? Here Excel does the math for you ... enter image description here

Now you could probably ask: "I want to enter the symbolic formula and want to see it developed in Excel for a range of X that I enter, too - with table and graph"