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Natasha2012 [34]
4 years ago
6

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

Mathematics
1 answer:
lakkis [162]4 years ago
5 0
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 <u>+</u> √a² - 4b)/2

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

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

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Answer:

See below.

Step-by-step explanation:

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