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ekkudakova
@ekkudakova
August 2022
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Решите систему уравнений
ху= 7
х+у=8
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Михаил23052002
ху= 7
х+у=8
x=8-y
(8-y)*y=7
8y-y^2-7=0
y^2-8y+7=0
По теореме Виетта
y1+y2=8 y1=7
y1*y2=7 y2=1
x1=8-7=1
x2=8-1=7
Ответ: (1;7)(7;1)
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Answers & Comments
х+у=8
x=8-y
(8-y)*y=7
8y-y^2-7=0
y^2-8y+7=0
По теореме Виетта
y1+y2=8 y1=7
y1*y2=7 y2=1
x1=8-7=1
x2=8-1=7
Ответ: (1;7)(7;1)