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Harper Robertson
Mathematics
21 September, 15:08
What multiplys to be 12 but adds to be 7
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Ahmed Ferguson
21 September, 15:34
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Xy = 12
x + y = 7
x + y = 7
x - x + y = - x + 7
y = - x + 7
xy = 12
x (-x + 7) = 12
x (-x) + x (7) = 12
-x² + 7x = 12
-x² + 7x - 12 = 0
-1 (x²) - 1 (-7x) - 1 (12) = 0
-1 (x² - 7x + 12) = 0
-1 - 1
x² - 7x + 12 = 0
x² - 4x - 3x + 12 = 0
x (x) - x (4) - 3 (x) - 3 (-4) = 0
x (x - 4) - 3 (x - 4) = 0
(x - 3) (x - 4) = 0
x - 3 = 0 or x - 4 = 0
+ 3 + 3 + 4 + 4
x = 3 x = 4
x + y = 7
3 + y = 7
- 3 - 3
y = 4
(x, y) = (3, 4)
or
x + y = 7
4 + y = 7
- 4 - 4
y = 3
(x, y) = (4, 3)
The two numbers that mutliplies to 12 and add up to 7 are 3 and 4.
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