Question

What are two numbers have a product of 234 and a sum of 31

Answer 1

Explanation:

Let on number be x

Other number = 31 - x

Product of two numbers = 234

x*(31-x) = 234

x*31 -x*x = 234

31x -x² = 234

0= 234 + x² - 31x

x² - 31x + 234 = 0

x² - 18x - 13x + 18*13 = 0

x(x-18) - 13 (x - 18) = 0

(x - 18)(x- 13) = 0

x - 18 = 0 ; x - 13 = 0

x = 18 ; x = 13

The numbers are = 18,13

Answer 2

Two numbers that when you multiply them and add them would give you 234 and 31 would be:

18 and 13

18*13=234

18+13=31

Hope this helps ;)