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Belchonoc
@Belchonoc
August 2022
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система:
ху+х=56
ху+у=54
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zulkarnai
X(y+1)=56
xy+y=54
x=56/(y+1)
56y/(y+1) + y = 54
56y + y² + y = 54y+ 54
y² + 3y - 54 = 0
D=9+216 = 225
y₁=(-3+15)/2=6
y₂ = (-3-15)/2 = -9
x₁= 56/(6+1) = 8
x₂ = 56/(-9+1) = -7
Ответ; (8; 6) ; (-7;-9)
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Answers & Comments
xy+y=54
x=56/(y+1)
56y/(y+1) + y = 54
56y + y² + y = 54y+ 54
y² + 3y - 54 = 0
D=9+216 = 225
y₁=(-3+15)/2=6
y₂ = (-3-15)/2 = -9
x₁= 56/(6+1) = 8
x₂ = 56/(-9+1) = -7
Ответ; (8; 6) ; (-7;-9)