Good afternoon everyone.


I'm using the "roots" command, but I'm not getting the two points where the line intersects the parabola. The command gives me only one result and omits the other point. Attached is the file and image of the problem. How can I find both intersection points?
Roots.sm (8,44 KiB) scaricato 1367 volta(e).

Wrote

I'm using the "roots" command, but I'm not getting the two points where the line intersects the parabola. The command gives me only one result and omits the other point. Attached is the file and image of the problem. How can I find both intersection points?

As doctored ... Jean

Roots Doctored.sm (9,38 KiB) scaricato 1392 volta(e).

Hi Sergio. There are a 3 argument version of roots, where the third is a guess value for the root.

Roots.sm (9,84 KiB) scaricato 1408 volta(e).

Best regards.
Alvaro.

'roots' is essentially based on differentiable function.
Often, in Engineering works you don't have differentiable functions,
Gamma(x), spline fit ... etc.
In those cases, use the X(Φ,a,b,ε) utility.
Cheers ... Jean.

roots Gamma(x).sm (18,54 KiB) scaricato 1371 volta(e).

Here your solution solved with maple plugin.
No need to enter guess points for this.
Maxima can solve it too, similarly.

Regards

PS: MapleCorrect() function can be found here.
Assign() function can be used instead of str2num() + num2str() + strrep().

Wrote

PS: MapleCorrect() function can be found here.
Assign() function can be used instead of str2num() + num2str() + strrep().

My personal favourite way to handle solver results is Davide's at() substitution function.

Hi. This is another way.



Roots.sm (16,66 KiB) scaricato 1364 volta(e).

Best regards.
Alvaro.

Wrote

'roots' is essentially based on differentiable function.
Often, in Engineering works you don't have differentiable functions,
Gamma(x), spline fit ... etc.
In those cases, use the X(Φ,a,b,ε) utility.

Many Smath built-in functions are not differentiable.
diff(▄ ▄) not defined ... Airy example attached.

roots Airy.sm (11,05 KiB) scaricato 1345 volta(e).

Wrote

Hi. This is another way.

What the heck? Can we use maple keywords if they are written as `function`?
This is so mind-blowing, thanks Razonar.

I found a Windows laptop.
And tried Maxima plugin Solve().
It can solve easily.

Regards