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Алина10042002
@Алина10042002
August 2022
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Хквадрат +ху=6.Уквадрат+ху=3. Система
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Dимасuk
Verified answer
X² + xy = 6
y² + xy = 3
x² - y² = 3
y² + xy = 3
(x - y)(x + y) = 3
y(y + x) = 3
y = x - y
(x - y)(x + y) = 3
x = 2y
(2y - y)(2y + y) = 3
x = 2y
3y² = 3
x = 2y
y² = 1
x = 2y
y = ±1
x = ±2
y = ±1
Ответ: (-2; -1); (2; 1).
1 votes
Thanks 2
Алина10042002
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Answers & Comments
Verified answer
X² + xy = 6y² + xy = 3
x² - y² = 3
y² + xy = 3
(x - y)(x + y) = 3
y(y + x) = 3
y = x - y
(x - y)(x + y) = 3
x = 2y
(2y - y)(2y + y) = 3
x = 2y
3y² = 3
x = 2y
y² = 1
x = 2y
y = ±1
x = ±2
y = ±1
Ответ: (-2; -1); (2; 1).