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Kiersten Bradley
Mathematics
16 July, 14:35
What multiplies to - 900 and adds to 5?
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Karsyn Waters
16 July, 14:59
0
Xy = - 900
x + y = 5
x + y = 5
x - x + y = - x + 5
y = - x + 5
xy = - 900
x (-x + 5) = - 900
x (-x) + x (5) = - 900
-x² + 5x = - 900
-x² + 5x + 900 = 0
-1 (x²) - 1 (-5x) - 1 (-900) = 0
-1 (x² - 5x - 900) = 0
-1 - 1
x² - 5x - 900 = 0
x = - (-5) ± √ ((-5) ² - 4 (1) (-900))
2 (1)
x = 5 ± √ (25 + 3600)
2
x = 5 ± √ (3625)
2
x = 5 ± 5√ (145)
2
x = 2.5 ± 2.5√ (145)
x + y = 5
2.5 ± 2.5 √ (145) + y = 5
- (2.5 ± 2.5√ (145) - (2.5 ± 2.5√ (145)
y = 2.5 ± 2.5√ (145)
(x, y) = (2.5 ± 2.5√ (145), 2.5 ± 2.5√ (145))
The two numbers that add up to 5 and multiply to - 900 are 2.5 ± 2.5√ (145).
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