Question

What 2 numbers, that when multiplied give you 24 but when added give you 5

Answer 1

Let x and y be the unknown numbers.

x + y = 5
xy = 24

x + y = 5
y = 5-x

xy = 24
x(5-x) = 24
5x - x² = 24

- x² + 5x -24 = 0

(a + √a² - 4b)/2

(5 + √5² - 4(-24))/2
(5 + √25 + 96)/2
(5 + √121)/2

(5 + 11)/2             ; (5 - 11)/2
16/2                          -6/2
8                           ; -3