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alrac
21.12.2019 •
Mathematics
What adds to equal 6 but multiplies to make 4?
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Ответ:
x*y=4 => y=4/x
x +4/x = 6
x^2 +4 = 6x
x^2 -6x +4=0
D = 36-16=20
x_1,2 = (6+/- sqrt20)/2
x_1,2 = (6+/- 2sqrt5)/2 = 2(3+/- sqrt5)/2 = 3+/- sqrt5
x_1,2 = 3+/- sqrt5
y_1 = 4/x_1 = 4/(3-sqrt5) = (4(3+sqrt5))/(9-5) = (4(3+sqrt5))/4 = 3+sqrt5
y_2 = 4/x_2 = 4/(3+sqrt5) = (4(3-sqrt5))/(9-5) = (4(3-sqrt5))/4 = 3-sqrt5
hope helped
Ответ:
16,000 - 4,000 = 12,000 pounds
1 ton = 2,000 pounds
so 12,000 / 2,000 = 6 tons
Therefore, the weight range is 6 tons