Câu 6:
2009-|x-2009|=x
Suy ra { viết dấu suy ra nha } 2009-x=|x-2009|
viết tiếp suy ra như trên |x-2009|=-(x-2009)
viết tiếp suy ra như trên x \(\le\) 2009
Vậy x\(\le\) 2009
I,1,Tìm giá trị nhỏ nhất
D=|x-2|+|x-9|+|x+1945|
II,Tìm x,y,z
1,|x-2|-|2x+3|-x=2 2,|x-2|-|2x-3|-x=2
3,|x-7|+2x+5=6 4,\(\left(3x-5\right)^{2006}+\left(y^2-1\right)^{2008}+\left(x-2\right)^{2100}=0\)
5,||x+3|-11|=2 6,2009-|x-2009|=x
7,\(\left(2x-2\right)^{2008}+\left(y-\frac{2}{5}\right)^{2008}+\text{|}x+y-Z\text{|}=0\)
III,Tìm x,y,z \(\varepsilon\)Z
1,\(4^2-3\text{|}y-3\text{|}=4\left(2012-x\right)^4\)
2,\(25-y^2+8\left(x-2009\right)^2\)
tìm các số x,y,z \(\left(3x-5\right)^{2006}+\left(y^2-1\right)^{2008}+\left(x-z\right)^{2100}=0\)
I,1,Tìm giá trị nhỏ nhất
D=|x-2|+|x-9|+|x+1945|
II,Tìm x,y,z
1,|x-2|-|2x+3|-x=2 2,|x-2|-|2x-3|-x=2
3,|x-7|+2x+5=6 4,(y2−1)2008+(x−2)2100=0
5,||x+3|-11|=2 6,2009-|x-2009|=x
Tìm x,y thuộc Z:
a, (x-3)^2+(y+2)^2=0
b,2x+2^x+3=136
c,42-3./y-3/=4.(2042-x)^4
d,/x+5/+(3y-6)^2010=0
e,(2x-4)^2008+(y-4)^2008+/x+y+z/=0
g,(3x-6)^2006+(y^2-1)^2008+(x-z)^2100=0
h,8.2^3x.7^y=56^2x.5^x-1
i, x^3-y^3-z^3=3xyz và x^2=2.(y+z) (x,y,z thuộc N*)
tìm x
a) \(\frac{x-1}{2}+\frac{x-2}{5}=\frac{1}{4}+\frac{x-7}{10}\)
b) \(3-\frac{2}{2x-3}=\frac{2}{5}+\frac{1}{2x-3}-\frac{3}{2}\)
c)\(7\cdot\left(x-1\right)+2x\cdot\left(1-x\right)=0\)
d) \(\frac{x+1}{2008}+\frac{x+2}{2017}+\frac{x+3}{2016}=\frac{x+10}{2009}+\frac{x+11}{2008}+\frac{x+12}{2007}\)
e) \(\frac{2}{\left(x-1\right)\cdot\left(x-3\right)}+\frac{5}{\left(x-3\right)\cdot\left(x-8\right)}+\frac{12}{\left(x-8\right)\cdot\left(x-20\right)}-\frac{1}{x-20}=\frac{-3}{4}\)
Tìm x, y, z
a) \(2009-\left|x-2009\right|=x \)
b) \(\left(2x-1\right)^{2008}+\left(y-\frac{2}{5}\right)^{2008}+\left|x-+y-z\right|=0\)
Tìm x:
a) \(\dfrac{1}{3}.x+\dfrac{2}{5}\left(x-1\right)=0\)
b)\(-5.\left(x+\dfrac{1}{5}\right)-\dfrac{1}{2}.\left(x-\dfrac{2}{3}\right)=x\)
c)\(\left(x+\dfrac{1}{2}\right).\left(\dfrac{2}{3}-2x\right)=0\)
d)\(9.\left(3x+1\right)^2=16\)
1) Tìm x, y, z
a) (x-3)(x-7)< 0 b) (x-8)x-1 - (x-8)x+21 = 0
c) |x-2|-|2x+3|-x= 2 d) |x-7|+ 2x+5=6
e) (3x-5)2006 + (y2 -1)2008 + (x-z)2100 =0 g) (2x-1)2008 + (y-2/5)2008 + |x+y-z|=0
2) Tìm số nguyên x, y, z biết:
a) 42- 3|y-3| = 4(2012-x)4 b) xy-2x+3y=11
c) 25-y2 = 8(x-2009)2 d) x2 +x-3x-3y+7=0
e) 2xy+5x=3y+7=0 g) x2 -2y2 =1
3) Cho P= |3x-3|+2x+1. Rút gọn P
4)Tìm GTLN của các biểu thức
a) A= 8-|2x+3|
b) B= 11-(2x-1)2 - |y+3|
c) C= \(C=\frac{2009}{\left|2x+1\right|+2010}\)
Tìm x biết:
\(a,\left(x-\dfrac{3}{4}\right)+50\%=\dfrac{1}{6}\)
\(b,\dfrac{1}{2}x-\dfrac{5}{6}x=\dfrac{7}{2}\)
\(c,\left(4-x\right)\left(3x+5\right)=0\)
\(d,\dfrac{x}{16}=\dfrac{50}{32}\)
\(e,\left(2x-3\right)+\dfrac{3}{2}=-\dfrac{1}{4}\)
