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4 replies

25-Diamond I
May 12, 2024

You may use the symbolic "solve" command to solve these equations in Mathcad.

Or you may use a solve block with "find"

Or you may use the "root" function.

Look them up in the help, give one of them a try and if you experience problems then come back here and post your worksheets with your attempts.

I would advise against using the symbolic "solve". In case of your first function it would return only the trivial solution x=0.
Using one of the numeric methods you get the other two solutions as well if you provide appropriate guess values.

Werner_E_0-1715542484850.png

 

If you really need it to be done using the simple bisection method for trainings purposes in your education, you have to look up the method in your lecture notes. You should not need Mathcad to do so other than for plotting to find suitable start values and to evaluate the functions numerically to see where the sign changes.

Of course you could write a Mathcad function wich takes the function and two initial values as its arguments and returns a list of left and right boundary values (until a certain precision is achieved). If this is your goal, then make a start, give it a try and if you get stuck, come back here and post your worksheet with your attempts.

 

18-Opal
May 12, 2024
I take it you are looking for one solution where both cross the "X" axis at the same point .

ppal_1-1715552260793.png

 

25-Diamond I
May 13, 2024

@ppal_255687 wrote:
I take it you are looking for one solution where both cross the "X" axis at the same point .

??? There is no such 'solution' !!

0.55768... is not the same as 0.56871....

I guess you may be able to even see it in your plot if you zoom in enough.

18-Opal
May 13, 2024

Depends on your tolerance settings - 

0.5 is best we can get to.
Community Moderator
May 16, 2024

Hello @TT_11056782

 

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20-Turquoise
May 20, 2024

Guessing,  maybe it is this :

Intersection Points of 2 Curves .PNG  

Regards.