49a09e51-027a-40a4-a122-3c12d5557f5f 8 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

f 2 a * 2 c * ≡ 4 a * c e + ≡ 6 a * 2 b * + 4 c * d + 4 e * + ≡ 2 b * 2 d * 2 e * + ≡ 41 mat :

seed a 1 ≡ b 1 ≡ c 1 ≡ d 1 ≡ 41 mat :

expeiment/observe ε 1015 -^:

experiment/observe ... 1, 2, 6 e 3 :

a b c d 41 mat f seed ε FindRoot : 1.000000000000000 7.000000000000000 1.000000000000000 4.000000000000000 41 mat

a b c d e 51 mat 1714351 mat

2 a * 2 c * - 4 a * c e + (- 6 a * 2 b * + 4 c * d + 4 e * + (- 2 b * 2 d * 2 e * + (- 41 mat 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 41 mat

The rule we don't kow here is how to find Diophantine coeff's. On the other hand, if you just have 1 mg of H2SO4, you can balance the reaction from FindRoot(f,seed,ε).