(12C) Newton's Method

[Gamo]

The new updated user friendly version of the Newton's Method now work even better than the previous version just start your guess and go R/S !!!

I try the same X^X=Y

Store Y in Register 5 (STO 5)

X^X=1000

1000 [STO 5]
2 R/S > 4,555535706
3 R/S > 4,555535705
4 R/S > 4,555535705

150.25 [STO 5]
2 R/S > 3.773964520
3 R/S > 3.773964519
4 R/S > 3.773964520
5 R/S > 3.773964519
6 R/S > 3.773964519

123456789 [STO 5]
4 R/S > 8.640026440
5 R/S > 8.640026441
6 R/S > 8.640026437
7 R/S > 8.640026440
8 R/S > 8.640026440
9 R/S > 8.640026439
10 R/S > 8.640026440

-----------------------------------------------------------------------------------------------
Solve: LN(X) + 3X = 10.8074

Change to: LN(X) + 3X - 10.8074 = 0

Program Code:
LN
LSTx
3
x
+
RCL 5
-

Solve Equation by first store 10.8074 to Register 5 [STO 5]

4 > R/S > 3.213360869 check tolerant gave exact 0.000000000
3 > R/S > 3.213360870 check tolerant gave -0.000000020


So far this version is very accurate and no need to manually change tolerant.

Gamo