When did Scipione del Ferro discover the depressed cubic equation?

Scipione del Ferro (6 February 1465 – 5 November 1526) was an Italian mathematician who first discovered a method to solve the depressed cubic equation . Scipione del Ferro was born in Bologna, in northern Italy, to Floriano and Filippa Ferro.

What did Scipione del Ferro’s father do?

His father, Floriano, worked in the paper industry, which owed its existence to the invention of the press in the 1450s and which probably allowed Scipione to access various works during early stages of his life. He married and had a daughter, who was named Filippa after his mother.

How did del Ferro solve the equation x 2?

While it is not known today with certainty what method del Ferro used, it is thought that he used the fact that x = a + b + a − b {displaystyle x={sqrt {a+{sqrt {b}}}}+{sqrt {a-{sqrt {b}}}}} solves the equation x 2 = ( 2 a 2 − b ) x 0 + 2 a {displaystyle x^{2}=(2{sqrt {a^{2}-b}})x^{0}+2a} to conjecture that x = a + b 3 + a − b 3 {

What did Floriano Ferro do for a living?

Floriano Ferro was employed in paper making which, because of the invention of printing in the 1450s, became an important trade at this time due naturally to a vastly increased demand for paper.

When was Scipione Ferro born and when did he die?

Scipione Ferro, also called Dal Ferro, (born 1465, Bologna—died 1526, Bologna, Papal States), Italian mathematician who is believed to have found a solution to the cubic equation x 3 + px = q where p and q are positive numbers.

What did Scipione del Ferro discuss with Pacioli?

Pacioli taught at the University of Bologna during 1501-02 and discussed mathematical problems with del Ferro at that time. It is not known whether the two discussed the algebraic solution of cubic equations, but certainly Pacioli had included this topic in his famous treatise the Summa which he had published seven years earlier.

Why are there no surviving scripts from Scipione del Ferro?

There are no surviving scripts from del Ferro. This is in large part due to his resistance to communicating his works. Instead of publishing his ideas, he would only show them to a small, select group of friends and students. It is suspected that this is due to the practice of mathematicians at the time of publicly challenging one another.