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kelenad1999
@kelenad1999
August 2022
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Помогите решить систему уравнений, пожалуйста.
9x^2-4y^2-24x-12y+7=0,
3|x-1|+2y+4=0.
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Answers & Comments
IrkaShevko
Verified answer
(3x + 4)² - (2y + 3)² = 0
3|x-1| + 2y + 4 = 0
(3x + 4 - 2y - 3)(3x + 4 + 2y + 3) = 0
3|x-1| + 2y + 4 = 0
1) 3x - 2y + 1 = 0
y = (3x+1)/2
3|x-1| + 3x + 1 + 4 = 0
3|x-1| + 3x + 5 = 0
а) x < 1
-3x + 3 + 3x + 5 = 0
8 = 0 - не верно
б) x ≥ 1
3x - 3 + 3x + 5 = 0
6x = -2
x = -1/3 < 1 - не подходит
2) 3x + 2y + 7 = 0
y = (-3x-7)/2
3|x-1| -3x - 7 + 4 = 0
3|x-1| - 3x - 3 = 0
а) x < 1
-3x + 3 - 3x - 3 = 0
-6x = 0
x = 0 - ответ
б) x ≥ 1
3x - 3 - 3x - 3 = 0
-6 = 0 - не верно
y = -3,5
Ответ: (0; -3,5)
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Answers & Comments
Verified answer
(3x + 4)² - (2y + 3)² = 03|x-1| + 2y + 4 = 0
(3x + 4 - 2y - 3)(3x + 4 + 2y + 3) = 0
3|x-1| + 2y + 4 = 0
1) 3x - 2y + 1 = 0
y = (3x+1)/2
3|x-1| + 3x + 1 + 4 = 0
3|x-1| + 3x + 5 = 0
а) x < 1
-3x + 3 + 3x + 5 = 0
8 = 0 - не верно
б) x ≥ 1
3x - 3 + 3x + 5 = 0
6x = -2
x = -1/3 < 1 - не подходит
2) 3x + 2y + 7 = 0
y = (-3x-7)/2
3|x-1| -3x - 7 + 4 = 0
3|x-1| - 3x - 3 = 0
а) x < 1
-3x + 3 - 3x - 3 = 0
-6x = 0
x = 0 - ответ
б) x ≥ 1
3x - 3 - 3x - 3 = 0
-6 = 0 - не верно
y = -3,5
Ответ: (0; -3,5)