# Luca Pacioli's incorrect solution

In the Summa of Luca Pacioli, he gives a solution for a quadratic equation involving a variable to the third power. The solution he gives is wrong; that is easily verifiable by substituting it into the equation. If his answer is so easily verified as being incorrect, what may have been his thought process - did he think this was right? Or did he get it wrong on purpose? Or, will we never know?

The equation I am referring to is $$6x^3=43x^2+79x+30$$

• It would appear to be impossible to reconstruct the thought process of a person who has been dead for five hundred years. Would it be possible to modify the question so it becomes answerable? – njuffa Jan 22 at 6:41