Formula for word problem

Question

If the sum of two numbers is 24 and the product is 140, what are the two numbers? The answer is 10 and 14, but what is the formula?

Answer 1

x+y = 24

xy = 140

y = 24-x

x(24-x) = 140

24x - x^2 - 140 = 0

x^2 - 24x + 140 = 0

( x - 14 )(x - 10 ) = 0

x=14 or x = 10

For x = 14 then y=10 (AND VICE VERSA)

So yes, they are 14 and 10