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Guadalupe Lamb
Mathematics
5 May, 22:53
What multiplies to 14 but adds to negative 4?
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Mckenzie Newman
5 May, 23:06
0
Xy 14
x + y = - 4
x + y = - 4
x - x + y = - x - 4
y = - x - 4
xy = 14
x (-x - 4) = 14
x (-x) - x (4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1 (x²) - 1 (4x) - 1 (14) = 0
-1 (x² + 4x + 14) = 0
-1 - 1
x² + 4x + 14 = 0
x = - (4) ± √ ((4) ² - 4 (1) (14))
2 (1)
x = - 4 ± √ (16 - 56)
2
x = - 4 ± √ (-40)
2
x = - 4 ± 2i√ (10)
2
x = - 2 ± i√ (10)
x + y = - 4
-2 ± i√ (10) + y = - 4
- (-2 ± i√ (10)) - (-2 ± i√ (10))
y = - 2 ± i√ (10)
(x, y) = (-2 ± √ (10), - 2 ± √ (10))
The two numbers that multiply to 14 and add up to - 4 are - 2 ± i√ (10).
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