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ta có : 1/y = x/4 - 1/2 = ( x+2)/4 <=> y = 4/(x - 2)
Để x, y nguyên nên ta có : x-2 ϵ Ư(4) = { -1 , 1 ,-2,2-4,4}
x-2=1=>x=3=>y=4
x-2=-1=>x=1=>y=-4
x-2=-2=>x=0=>y=0
x-2=2=>x=4=>y=2
x-2=-4=>x=-2=>y=-1
x-2=4=>x=6=>y=1
vay cac cap so nguyen( x,y) la :(3,4),(1,-4),(0,0),(4,2),(-2,-1),(6,1)
x4
12
1
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* x/7 = -6/21
=> x = -6.7 : 21
=> x = -2
* x/-2 = -8/x
=> x.x = -8.(-2) = 16
=> x^2 = 16
=> x = 4 hoặc x = -4
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\(\left(x-7\right)\left(y+3\right)=17\)
\(\Rightarrow\left(x-7\right);\left(y+3\right)\inƯ\left(17\right)=\left\{\pm1;\pm17\right\}\)
Xét bảng
x-7 | 1 | -1 | 17 | -17 |
y+3 | 17 | -17 | 1 | -1 |
x | 8 | 6 | 24 | -10 |
y | 14 | -20 | -2 | -4 |
Vậy.......................................
\(xy+3x=5\)
\(\Rightarrow x\left(y+3\right)=5\)
\(\Rightarrow x;\left(y+3\right)\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)
Xét bảng
x | 1 | -1 | 5 | -5 |
y+3 | 5 | -5 | 1 | -1 |
x | 1 | -1 | 5 | -5 |
y | 2 | -8 | -2 | -4 |
Vậy..................................
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2.a)xE{13;15;17}(có 3 phần tử)
b)x-2=34
x=34+2
x=36(có 1 phần tử): B={36}