tìm x , y thuộc Z
( x - 2 ) \(\cdot\) ( x + 1 ) = 0
x \(\cdot\) y = - 21
34 + ( 21 - x ) = ( 3747 - 30 ) - 3746
( '' \(\cdot\) '' ) là dấu nhân
giúp mình với ! thanks !
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\(\frac{2016.x}{xy+2016x+2016}+\frac{y}{yz+y+2016}+\frac{z}{xz+z+1}\)= \(\frac{2016x}{xy+2016x+1}+\frac{xy}{xyz+xy+2016x}+\frac{xyz}{xxyz+xyz+xy}\) = \(\frac{2016x}{xy+2016x+xyz}+\frac{xy}{xyz+xy+2016x}+\frac{xyz}{2016x+xyz+xy}\)
=\(\frac{2016x+xy+xyz}{2016x+xy+xyz}=1\)
Nhân theo vế 3 đẳng thức:
\(\left(xyz\right)^2=324=18^2=\left(-18\right)^2\)
+) Xét xyz = 18
Ta có: \(z=\frac{18}{xy}=\frac{18}{2}=9\)
\(y=\frac{18}{xz}=\frac{18}{54}=\frac{1}{3}\)
\(x=\frac{18}{yz}=\frac{18}{3}=6\)
+) Xét xyz = -18
\(z=-\frac{18}{xy}=-\frac{18}{2}=-9\)
\(y=-\frac{18}{xz}=-\frac{18}{54}=-\frac{1}{3}\)
\(x=-\frac{18}{yz}=-\frac{18}{3}=-6\)
Vậy ...
\(S=\frac{yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left(x-z\right)+xy\left(z+1\right)\left(x-y\right)}{xyz\left(x-y\right)\left(y-z\right)\left(x-z\right)}\)
+ \(yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left(x-z\right)+xy\left(z+1\right)\left(x-y\right)\)
\(=yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left[\left(y-z\right)+\left(x-y\right)\right]\)
\(+xy\left(z+1\right)\left(x-y\right)\)
\(=\left(y-z\right)\left[yz\left(x+1\right)-zx\left(y+1\right)\right]+\left(x-y\right)\left[xy\left(z+1\right)-zx\left(y+1\right)\right]\)
\(=\left(y-z\right)\left[z\left(y-x\right)\right]+\left(x-y\right)\cdot x\cdot\left(y-z\right)\)
\(=\left(x-y\right)\left(y-z\right)\left(x-z\right)\)
\(\Rightarrow S=\frac{1}{xyz}\)
\(M=\frac{z^5.\left(x+y^2\right).\left(x^2-y^3\right).\left(x^2-y\right)}{x^2+y^2+z^2+1}=\frac{\left(-5\right)^5.\left(-4+16^2\right).\left[\left(-4\right)^2-16^3\right].\left[\left(-4\right)^2-16\right]}{\left(-4\right)^2+16^2+\left(-5\right)^2+1}\)
\(=\frac{\left(-5\right)^5.\left(-4+16^2\right).\left[\left(-4\right)^2-16^3\right].0}{\left(-4\right)^2+16^2+\left(-5\right)^2+1}=0\)
1) \(\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x+1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
2) \(xy=-21=\left(-3\right).7=\left(-7\right).3=1.\left(-21\right)=\left(-1\right).21\)
Vậy ta có các cặp số (x;y) thỏa mãn: (-3;7) ; (-7;3) ; (1;-21) ; (-1;21) và các hoán vị của nó
3) \(34+\left(21-x\right)=\left(3747-30\right)-3746\)
\(\Leftrightarrow55-x=1-30\)
\(\Rightarrow x=84\)
(x - 2)(x + 1) = 0
=> \(\orbr{\begin{cases}x-2=0\\x+1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
x . y = -21 = (-3) . 7 = (-7).3 = 21.(-1) = (-1).21
Vậy (x,y) \(\in\){(-3,7) ; (-7.3) ; (21,-1) : (-1,21)}
34 + (21 - x) = (3747 - 30) - 3746
=> 34 + 21 - x = 3747 - 30 - 3746
=> 34 + 21 - x = 1 - 30
=> 55 - x = -29
=> x = 84