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Dauren99
@Dauren99
July 2022
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GREENDEY
1
+
1
=
7
ОДЗ: х≠0 и y≠0
x y xy
1
-
1
=
3
x y xy
Сложим 1 и 2 уравнения:
2
=
10
| * xy
x xy
2xy
=
10
xy
x xy
2y = 10
y = 5
1
+
1
=
7
x 5 5x
1
=
7
-
1
x 5x 5
1
=
7 - х
x 5x
5x = х(7 - х)
5x = 7х - х²
х² - 2х = 0
х(х - 2) = 0
х =0 или
х = 2
(не удовлетворяет
ОДЗ )
Ответ: (2 ; 5)
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Answers & Comments
x y xy
1 - 1 = 3
x y xy
Сложим 1 и 2 уравнения:
2 = 10 | * xy
x xy
2xy = 10xy
x xy
2y = 10
y = 5
1 + 1 = 7
x 5 5x
1 = 7 - 1
x 5x 5
1 = 7 - х
x 5x
5x = х(7 - х)
5x = 7х - х²
х² - 2х = 0
х(х - 2) = 0
х =0 или х = 2
(не удовлетворяет
ОДЗ )
Ответ: (2 ; 5)