Question
What 2 numbers, that when multiplied give you 24 but when added give you 5
Asked by: USER8689
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Answer (74)
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
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