what is the bombelii formula, the one used to replace the trial and error based polynomials. explain please?

Answer 1

Rafael Bombelli (1526–1572) was an Italian mathematician.

Born in Bologna, he is the author of a treatise on algebra and is a central figure in the understanding of imaginary numbers.

Bombelli used a method related to continued fractions to calculate square roots.

Bombelli's method should be compared with formulas and results used by Hero and Archimedes.

He was the one who finally managed to settle the problem with imaginary numbers. In Algebra 1569, Bombelli solved equations, using the method of del Ferro/Tartaglia, he introduced +i and -i and described how they both worked in Algebra.

The lunar crater Bombelli is named after him.