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GoldenTiran
@GoldenTiran
July 2022
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Решите систему уравнений :
x+y=20
x^2+y^2=20
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lol2246
Второе умножаем на два и складываем с первым
x^2+2xy+y^2=36
(x+y)^2=36
xy=8
x+y=6 x+y=-6
x*y=8 x*y=8
x1=2 x2=4 x3=-2 x4=-4
y1=4 y2=2 y3=-4 y4=-2
(2;4) (4;2) (-2;-4) (-4;-2)
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Answers & Comments
x^2+2xy+y^2=36
(x+y)^2=36
xy=8
x+y=6 x+y=-6
x*y=8 x*y=8
x1=2 x2=4 x3=-2 x4=-4
y1=4 y2=2 y3=-4 y4=-2
(2;4) (4;2) (-2;-4) (-4;-2)