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Josephine Hodge
Mathematics
28 June, 17:28
What adds ups to 5 but multiplies to give you 12
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1
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Reese Rubio
28 June, 17:46
0
X + y = 5
xy = 12
x + y = 5
y = - x + 5
xy = 12
x (-x + 5) = 12
x (-x) + x (5) = 12
-x² + 5x = 12
- 12 - 12
-x² + 5x - 12 = 0
x² - 5x + 12 = 0
x = 5 ± √25 - 48
2
x = - 5 ± √-23
2
x = - 5 ± 4.79i
2
x = - 5 + 4.79i or x = - 5 - 4.79i
2 2
x = - 2.5 + 2.395i or x = - 2.5 - 2.395i
y = - 2.5 - 2.395i or y = - 2.5 + 2.395i
The two numbers that add up to 5 and multiply to 12 is - 2.5 ± 2.395i, which is - 2.5 + 2.395i and - 2.5 - 2.395i.
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