1/(x-1) x-2/x.x-1=1
viết các biểu thức sau thành các hằng đẳng thức:
1) (1-2x)(1-2x)
2)4.x.x+20.x+1
3)x.x.5.x+6
4)x.x-1/2.x+1
5)x.x+5.x-10
giải phương trình tícha, 3x-1=0 b, 5x-2=x+4c, 2.(4-2x)-1 =x-3d, 2x-1/3 - x+2/6=3x e, (2x-1).(x.x-6)=0f, (x+2) .(5-4x)=x.x+4x+4
a) Ta có: \(3x-1=0\)
\(\Leftrightarrow3x=1\)
\(\Leftrightarrow x=\dfrac{1}{3}\)
Vậy: \(S=\left\{\dfrac{1}{3}\right\}\)
b) Ta có: \(5x-2=x+4\)
\(\Leftrightarrow5x-x=4+2\)
\(\Leftrightarrow4x=6\)
\(\Leftrightarrow x=\dfrac{3}{2}\)
Vậy: \(S=\left\{\dfrac{3}{2}\right\}\)
Khi phân tích đa thức x2 + x thành nhân tử ta được A x.x+1 B x(x+1) C (x+1)(x-1) D x.x
Tìm x<2 biết: x.(x-1) + x(x-1) = (x-1)x.x(x-2)
tìm x : x .( x - 1/2 ) = 1 + x.x
\(x.\left(x-\frac{1}{2}\right)=1+x.x\)
\(x^2-\frac{1}{2}x=1+x^2\)
\(\frac{-1}{2}x=1+x^2-x^2\)
\(\frac{-1}{2}x=1\)
\(\Leftrightarrow x=1:\frac{-1}{2}=-2\)
Rút gọn
a) (-x). ( x mũ 2 - x+1)+1/2 x mũ 2.(2x-4) + x.x + x.1 -2
\(\left(-x\right)\left(x^2-x+1\right)+\dfrac{1}{2}x^2\left(2x-4\right)+x\cdot x+x\cdot1-2\)
\(=-x^3+x^2-x+x^3-2x^2+x^2+x-2\)
\(=\left(-x+x^3\right)+\left(x^2-2x^2+x^2\right)+\left(-x+x\right)+\left(-2\right)\)
\(=-2\)
9.(-1/3)3.x-3.(-1/3)2.x.x+(-1/3).x+1=0
(x-2).(x.x+1)
a,1/1.3+1/3.5+1/5.7+......+1/x+(x+2)=20/41
b,1/3+1/6+1/10+....+1/x.(x+1:2)=2009/2011
c,1/21+1/28+1/36+...+2/x.x+1=2/9
\(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+....+\frac{1}{x.\left(x+2\right)}=\frac{20}{41}\)
\(\Rightarrow\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{x.\left(x+2\right)}\right)=\frac{20}{41}\)
\(\Rightarrow\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{20}{41}\)
\(\Rightarrow\frac{1}{2}.\left(1-\frac{1}{x+2}\right)=\frac{20}{41}\)
\(\Rightarrow1-\frac{1}{x+2}=\frac{20}{41}:\frac{1}{2}\)
\(\Rightarrow1-\frac{1}{x+2}=\frac{40}{41}\)
\(\Rightarrow\frac{1}{x+2}=1-\frac{40}{41}=\frac{1}{41}\)
=> x + 2 = 41
=> x = 39