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Bowman
Mathematics
4 July, 02:20
What adds to get - 30 and multiplies to get 72
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Delilah Sweeney
4 July, 02:22
0
X + y = - 30
xy = 62
x + y = - 30
- x - x
y = - x - 30
xy = 62
x (-x - 30) = 62
x (-x) - x (30) = 62
-x² - 30x = 62
- 62 - 62
-x² - 30x - 62 = 0
-1 (x²) - 1 (30x) - 1 (62) = 0
-1 (x² + 30x + 62) = 0
-1 - 1
x² + 30x + 62 = 0
x = - (30) ± √ ((30) ² - 4 (1) (62))
2 (1)
x = - 30 ± √ (900 - 248)
2
x = - 30 ± √ (652)
2
x = - 30 ± 2√ (163)
2
x = - 15 ± √ (163)
x = - 15 ± 12.76
x = - 15 + 12.76 or x = - 15 - 12.76
x = - 2.24 or x = - 27.76
x + y = - 30 or x + y = - 30
-2.24 + y = - 30 or - 27.76 + y = - 30
+ 2.24 + 2.24 + 27.76 + 27.76
y = - 27.76 or y = - 2.24
(x, y) = (-2.24, - 27.76) or (x, y) = (-27.76, - 2.24)
The two numbers that add up to - 30 and multiply to 72 are - 2.24 and - 27.76.
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