Предмет: Алгебра, автор: MegaGromov

25 баллов, срочно! система уравнений

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Ответы

Автор ответа: sonic1997
0
......................................
Приложения:
Автор ответа: MegaGromov
0
Спасибо огромное
Автор ответа: Anastsiia
0
Сделаем замену:
 left { {{(x-2)^2=a} atop {(x-2y)^2=b}} right. => +left { {{a+b=5} atop {a-b=-3}} right. =>2a=2 \ a=1 \ 1+b=5=>b=4 \  left { {{(x-2)^2=1} atop {(x-2y)^2=4}} right. => left { {{ left { {{x-2=1=>x=3} atop {x-2=-1=>x=1}} right. } atop { left { {{x-2y=2} atop {x-2y=-2}} right. }} right.=> left { {{x=3: left { {{3-2y=2=>2y=1=>y=0,5} atop {3-2y=-2=>2y=5=>y=2,5}} right. } atop {x=1: left { {{1-2y=2=>2y=-1=>y=-0,5} atop {1-2y=-2=>2y=3=>y=1,5}} right. }} right. => \
Ответ:
(3;0,5)
(3;2,5)
(1;-0,5)
(1;1,5)
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