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\(\frac{3x}{2\cdot5}+\frac{3x}{5\cdot8}+\frac{3x}{8\cdot11}+\frac{3x}{11\cdot14}=\frac{1}{21}\)
\(=>\frac{3x}{3}\left[\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+\frac{3}{11\cdot14}\right]=\frac{1}{21}\)
\(=>x\left[\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+\frac{3}{11\cdot14}\right]=\frac{1}{21}\)
\(=>x\left[\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{11}-\frac{1}{14}\right]=\frac{1}{21}\)
\(=>x\left[\frac{1}{2}-\frac{1}{14}\right]=\frac{1}{21}\)
\(=>x\cdot\frac{3}{7}=\frac{1}{21}\Leftrightarrow x=\frac{1}{9}\)
[3x-1]5=[3x-1]8
=>[3x-1]8-[3x-1]5=0
[3x-1]5.[[3x-1]3-1]=0
=>[3x-1]5 =0 hoặc [3x-1]3-1=0
=>3x-1=0 hoặc3x-1 =1
=>x=1/3 hoac x=2/3
Vay....
=>
Xy-3x=-19
=> x(y - 3) = -19
x | -1 | 1 | -19 | 19 |
y-3 | 19 | -19 | 1 | -1 |
y | 22 | -16 | 4 | 2 |
Xy+3x-2y=11
=> x(y + 3) - 2y - 6 = 5
=> x(y + 3) - 2(y + 3) = 5
=> (x - 2)(y + 3) = 5
xét bảng như câu a nha
3x+4y-xy=16
=> x(3 - y) - 12 + 4y = 4
=> x(3 - y) -4(3 - y) = 4
Xy+3x+2y=-3
=> x(y + 3) + 2y + 6 = 3
=> x(y + 3) + 2(y + 3) = 3
=> (x + 2)(y + 3) = 3
\(\left(3x-1\right)^{10}=\left(3x-1\right)^{20}\)
\(\Rightarrow\left(3x-1\right)^{20}-\left(3x-1\right)^{10}=0\)
\(\Rightarrow\left(3x-1\right)^{10}\left[\left(3x-1\right)^2-1\right]=0\)
\(\Rightarrow\left(3x-1\right)^{10}\left(3x-1+1\right)\left(3x-1-1\right)=0\)
\(\Rightarrow\left(3x-1\right)^{10}.3x.\left(3x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3x=0\\3x-1=0\\3x-2=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\3x=1\\3x=2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\\x=\dfrac{2}{3}\end{matrix}\right.\)
\(xy+3x+2y=-3\)
\(x\left(y+3\right)+2y+6=-3+6\)
\(x\left(y+3\right)+2\left(y+3\right)=3\)
\(\left(y+3\right)\left(x+2\right)=3\)
Th1: \(\Rightarrow\hept{\begin{cases}y+3=1\\x+2=3\end{cases}\Rightarrow\hept{\begin{cases}x=-2\\x=1\end{cases}}}\)
Th2: \(\Rightarrow\hept{\begin{cases}y+3=3\\x+2=1\end{cases}\Rightarrow\hept{\begin{cases}y=0\\x=-1\end{cases}}}\)
Th3: \(\Rightarrow\hept{\begin{cases}y+3=-1\\x+2=-3\end{cases}\Rightarrow\hept{\begin{cases}y=-4\\x=-5\end{cases}}}\)
Th4: \(\Rightarrow\hept{\begin{cases}y+3=-3\\x+2=-1\end{cases}\Rightarrow\hept{\begin{cases}y=-6\\x=-3\end{cases}}}\)
Vậy.....
hok tốt!!
x-14=3x+18
-14-18=3x-x
-32=2x
x=-32:2
x=-16
vậy x=-16
x-14=3x +18
=> x - 3x = 18 + 14
=> -x2 = 32
=> -x = 16
=> x = -16
vậy x = -16