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25 tháng 12 2022

`xy+3x+3y=-16`

`=>(xy+3x)+(3y+9)=-7`

`=>x(y+3)+3(y+3)=-7`

`=>y(y+3)(x+3)=-7`

Lập bảng : 

`x + 3` `1` `-7` `-1` `7`
`y + 3` `-7` `1` `7` `-1`
 `x` `-2` `-10` `-4` `4`
 `y` `10` `-2` `4` `-4`

 

 

AH
Akai Haruma
Giáo viên
23 tháng 12 2022

Lời giải:

$xy+3x+3y=-16$

$(xy+3x)+(3y+9)=-7$

$x(y+3)+3(y+3)=-7$

$(y+3)(x+3)=-7$
Vì $x,y$ nguyên nên $x+3, y+3$ nguyên. Ta có bảng sau:

20 tháng 12 2023

dài qua thê ạ

16 tháng 2 2020

a)Ta có :\(xy-2x-3y=9\)

\(x.\left(y-2\right)\)-\(3.\left(y-2\right)\)\(-6=9\)

\(\left(x-3\right)\)\(.\left(y-2\right)\)\(=15\)

đến đây cậu tự làm tiếp nhé

16 tháng 2 2020

\implies \,x-3 ,y-2 \inƯ(15)=\{\,\pm \,1;\pm \,3;\pm \,5;\pm \,15\}\,

x-3115-1-1535-3-5
y-2151-15-153-5-3
x4182-12680-2
y173-13175-3-1

\implies \,\(\left(x;y\right)\)\in \{\,\(\left(4;17\right),\left(18;3\right),\left(2;-13\right),\left(-12;1\right),\left(6;7\right),\left(8;5\right),\)\(\left(0;-3\right),\left(-2;-1\right)\)\}\,

5 tháng 2 2017

(3x-1)(x+5) = 13 

ta có 13 = 1 x 13 = 13 x 1 = (-13) x ( -1) = (-1) x ( -13) 

ta xét 4 TH 

TH1 \(\hept{\begin{cases}3x-1=1\\x+5=13\end{cases}}\)=> \(\hept{\begin{cases}3x=2\\x=8\end{cases}}\) ( không thỏa mãn vì x không thể đôngt hời = 2 giá trị khác nhau ) 

các TH khác bạn tự làm nhé 

b, xy - 3y + y = - 4 

=> xy - 2y = - 4

=> y(x-2) = - 4 

đến đây làm tương tự câu a

c, xy = 2(x+2) 

=> xy = 2x + 4 

=> xy - 2x = 4 

=> x(y-2) = 4 

đến đây bạn cũng làm tương tự câu a nhé

5 tháng 2 2020

a.
xy + 3x - 2y - 6 = 5
=>x(y + 3) - 2(y + 3) = 5
=>(x - 2)(y + 3) = 5.
Vì x, y thuộc Z nên x - 2, y + 3 thuộc Z
=> x - 2, y + 3 thuộc ước nguyên của 5
Lập bảng : 

x - 2-5-115
y + 3-1-551
x-3137
y-4-82-2

Vậy ......

b. Làm tương tự câu a.

c. Ta có x + y = 3 và x - y = 15
Bài này là tổng hiệu của cấp 1, áp dụng cách làm đó thì ta được số lớn là x = (3 + 15) : 2 = 9
Số bé là y = 9 - 15 = -6

d. Ta có : |x| + |y| = 1
=>|x| = 1 - |y|
Vì |x|, |y| >= 0 và |x| = 1 - |y| nên 0 =< |x|, |y| =< 1
Vì x, y thuộc Z nên x = 0 thì y = 1 hoặc -1 và ngược lại y = 0 thì x = 1 hoặc -1

14 tháng 1

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