[VA] SRC #016 - Pi Day 2024 Special

[jonakeys]

What a great way to honor Pi Day! These are some challenges. So thank you Valentin.

I've started to focus on the fifth appearances using the HP-15C CE. The found answers for the polynomials and the transcendental and the keystrokes are as follows:

• 4 x3 - 22 x2 + 29 x + 2 = 0 x = 3.141592996
• 9 x4 - 19 x3 + 28 x2 - 70 x - 344 = 0 x = 3.141592654
• Γ ln(7 x5/19) = 16 x = 3.141592654
  

* Polynomial equations
Using Horner's Method to rewrite
** 4 x3 - 22 x2 + 29 x + 2 = 0
x = 3.141592996
| 000 | *Keystrokes* | *Key Codes* |
| 001 | f LBL 0 | 42,21,0 |
| 002 | ENTER | 36 |
| 003 | ENTER | 36 |
| 004 | ENTER | 36 |
| 005 | 5 | 5 |
| 006 | . | 48 |
| 007 | 5 | 5 |
| 008 | - | 30 |
| 009 | 4 | 4 |
| 010 | x | 20 |
| 011 | x | 20 |
| 012 | 2 | 2 |
| 013 | 9 | 9 |
| 014 | + | 40 |
| 015 | x | 20 |
| 016 | 2 | 2 |
| 017 | + | 40 |
| 018 | g RTN | 43,32 |
#+tblfm: $1=@#-1;%03d

** 9 x4 - 19 x3 + 28 x2 - 70 x - 344 = 0
x = 3.141592654
| 000 | *Keystrokes* | *Key Codes* |
| 001 | f LBL 0 | 42,21,0 |
| 002 | ENTER | 36 |
| 003 | ENTER | 36 |
| 004 | ENTER | 36 |
| 005 | 9 | 9 |
| 006 | x | 20 |
| 007 | 1 | 1 |
| 008 | 9 | 9 |
| 009 | - | 30 |
| 010 | x | 20 |
| 011 | 2 | 2 |
| 012 | 8 | 8 |
| 013 | + | 40 |
| 014 | x | 20 |
| 015 | 7 | 7 |
| 016 | 0 | 0 |
| 017 | - | 30 |
| 018 | x | 20 |
| 019 | 3 | 3 |
| 020 | 4 | 4 |
| 021 | 4 | 4 |
| 022 | - | 30 |
| 023 | g RTN | 43,32 |
#+tblfm: $1=@#-1;%03d

* Transcendental equation
** Γ ln(7 x5/19) = 16
x = 3.141592654
| 000 | *Keystrokes* | *Key Codes* |
| 001 | f LBL 0 | 42,21,0 |
| 002 | 5 | 5 |
| 003 | y^x | 14 |
| 004 | 7 | 7 |
| 005 | x | 20 |
| 006 | 1 | 1 |
| 007 | 9 | 9 |
| 008 | ÷ | 10 |
| 009 | LN | 43,12 |
| 010 | 1 | 1 |
| 011 | - | 30 |
| 012 | x! | 42,0 |
| 013 | 1 | 1 |
| 014 | 6 | 6 |
| 015 | - | 30 |
| 016 | g RTN | 43,32 |
#+tblfm: $1=@#-1;%03d

edit: remove code panel since it's not allowed