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giúp mk vs các bn ui, mai mk nộp bài rùi, mk cần gấp lắm lắm,...giúp mk nha....
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\(a,2x\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x=0\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x\in\forall Z\\x=1\end{cases}}}\)
\(b,x\left(2x-4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\2x-4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}}\)
\(c;\left(x+1\right)+\left(x+3\right)+...............+\left(x+99\right)=0\)
\(\Rightarrow\left(x+x+...........+x\right)+\left(1+3+............+99\right)=0\)
\(\Rightarrow50x+2500=0\)
\(\Rightarrow50x=-2500\)
\(\Rightarrow x=-50\)
2/
\(a;\left(x-3\right)\left(2y+1\right)=7\)
\(\Rightarrow\left(x-3\right);\left(2y+1\right)\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
Xét bảng
x-3 | 1 | -1 | 7 | -7 |
2y+1 | 7 | -7 | 1 | -1 |
x | 4 | 2 | 10 | -4 |
y | 3 | -4 | 0 | -1 |
Vậy...............................
\(b;xy+3x-2y=11\)
\(\Rightarrow x\left(y+3\right)-2y-6=11-6\)
\(\Rightarrow x\left(y+3\right)-2\left(y+3\right)=5\)
\(\Rightarrow\left(x-2\right)\left(y+3\right)=5\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)
Xét bảng'
x-2 | 1 | -1 | 5 | -5 |
y+3 | 5 | -5 | 1 | -1 |
x | 3 | 1 | 7 | -3 |
y | 2 | -8 | -2 | -4 |
Vậy................................
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Ta thấy: 6x\(⋮\)3
9y\(⋮\)3
=> 6x-9y\(⋮\)3
Mặt khác 2014 không chia hết cho 3 => không tồn tai x,y thỏa mãn bài toán
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Ta có:
\(\frac{x}{4}-\frac{1}{y}=\frac{1}{2}\)
\(\frac{xy}{4y}-\frac{4}{4y}=\frac{1}{2}\)
\(\frac{xy-4}{4y}=\frac{1}{2}\)
\(2.\left(xy-4\right)=4y\)
\(2xy-8-4y=0\)
\(2xy-2-4-4y=0\)
\(2.\left(xy+1\right)-4.\left(y+1\right)=0\)
\(2.\left(xy+1\right)-2.2.\left(y+1\right)=0\)
\(2.\left[\left(xy+1\right)-2.\left(y+1\right)\right]=0\)
\(xy+1-2y-2=0\)
\(y.\left(x-2\right)=1\)
Ta có:1=1.1=(-1).(-1)
Do đó ta có bảng sau:
y | 1 | -1 |
x-2 | 1 | -1 |
x | 3 | 1 |
Vậy cặp (x;y) TM là:(3;1)(1;-1)
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Theo đầu bài ta có:
\(\frac{x}{4}-\frac{1}{y}=\frac{1}{2}\)
\(\Rightarrow\frac{xy-4}{4y}=\frac{1}{2}\)
\(\Rightarrow2\left(xy-4\right)=4y\)
\(\Rightarrow xy-4=2y\)
\(\Rightarrow xy-2y=4\)
\(\Rightarrow y\left(x-2\right)=4\)
Từ đó ta có bảng sau:
y | -4 | -1 | 1 | 4 |
x - 2 | -1 | -4 | 4 | 1 |
x | 1 | -2 | 6 | 3 |
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\(2xy-3x+2y=6\)
\(\Leftrightarrow x\left(2y-3\right)+2y-3=3\)
\(\Leftrightarrow\left(x+1\right)\left(2y-3\right)=3\)
Ta có bảng giá trị:
x+1 | -3 | -1 | 1 | 3 |
2y-3 | -1 | -3 | 3 | 1 |
x | -4 | -2 | 0 | 2 |
y | 1 | 0 | 3 | 2 |
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1, Tìm x thuộc Z:
a) x2=100
=> x^2 = 10^2
=> x = 10
Vậy x = 10
b) ( x-5)2-7=9
=> ( x - 5 )^2 = 9 + 7
=> ( x - 5 )^2 = 16
=> ( x - 5 )^2 = 4 ^ 2
=> x - 5 = 4
=> x = 5 + 4
=> x = 9
kick nhé
a) \(x^2=100\)
\(=>x^2=10^2\)
\(=>x=10\)
b) \(\left(x-5\right)^2-7=9\)
\(=>\left(x-5\right)^2=9+7\)
\(=>\left(x-5\right)^2=16\)
\(=>\left(x-5\right)^2=4^2\)
\(=>x-5=4\)
\(=>x=4+5\)
\(=>x=9\)
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A=[(-4x-8)+13]/(x+2)
=-4+13/(x+2) thuộc Z <=> 13/(x+2) thuộc Z <=> 13 chia hết cho (x+2)(do x thuộc Z)
hay (x+2) thuộc Ư(13)={-1;1;13;-13}
tìm x
B=[(x²-1)+6]/(x-1)
=x+1+6/(x-1)
làm tiếp như A
C=[(x²+3x+2)-3]/(x+2)
=[(x+2)(x+1)-3]/(x+2)
=x+1-3/(x+2)
làm tiếp như A
2/cậu cho đề thiếu đọc lại đề xem A có thuộc Z không
3,4 cũng vậy