Having an issue understanding where to use what ...
FindRoot vs solve(4).sm (4 KiB) downloaded 33 time(s).

FindRoot needs an initial guess to be explicited, therefore as 2nd argument use 1 or whatever number is more appropriate.

Thank you Davide,
Can you post how to do the initial guess? I've tried multiple items with no success

Wrote

Thank you Davide,
Can you post how to do the initial guess? I've tried multiple items with no success

Here you have


FindRoot vs solve(4).sm (4 KiB) downloaded 33 time(s).

Davide,
User error! I was initializing with #c instead of #a or #b.

Wrote

Having an issue understanding where to use what ...

1. roots is local of utmost accuracy.
2. solve[4] is general on specified range.
... will find/locate all 0's of Bessel in specified range
... roots [individually located] will meet Abramowitz & Stegun

roots and find work around different numerical algorithms.

You must have valid example(s) for Doctoring.
"Samples" is immensely furbished.

Solve roots.sm (16 KiB) downloaded 33 time(s).

This one is of great interest too.

Solve Algebraic.sm (46 KiB) downloaded 44 time(s).