Question

Problem of Tartaglia. Among all positive numbers a, b whose sum is 10, find those for which the product of the two numbers and their difference is largest.

Answer 1

Attached is the problem worked out with a sum of 8.

I did not start that way but thought this solution of a similar problem might help.

@celticwolf13

http://tinyurl.com/ottevz8

Answer 2

I started with this: x(10-x) (10 - 2x) = y

Answer 3

Thank you