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craazyfox
@craazyfox
July 2022
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сроччноооо пожалуйста решите систему уравнений х2+х+ху=8, у2+у+ху=4
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mmb1
Verified answer
Складываем оба
x2+y2+x+y+xy+xy=x2+2xy+y2+x+y=(x+y)2+(x+y)=12
pfvtyyf x+y=t
t2+t-12=0
t=-4
x+y=-4 x=-4-y
y2+y+(-4-y)y=4
y2+y-4y-y2=4
y=-4/3
x=-4+4/3
t=3
x+y=3
x=3-y
y2+y+y(3-y)=4
y2+y+3y-y2=4
y=1
x=2
провнерьте только
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craazyfox
спс большое очень благодарна)))
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Answers & Comments
Verified answer
Складываем обаx2+y2+x+y+xy+xy=x2+2xy+y2+x+y=(x+y)2+(x+y)=12
pfvtyyf x+y=t
t2+t-12=0
t=-4
x+y=-4 x=-4-y
y2+y+(-4-y)y=4
y2+y-4y-y2=4
y=-4/3
x=-4+4/3
t=3
x+y=3
x=3-y
y2+y+y(3-y)=4
y2+y+3y-y2=4
y=1
x=2
провнерьте только