GPT
(2-x)/2002-1=(1-x)/2003-x/2004
Tìm x biết Ax + B = C
A = 158 x 12 - 12/7 - 12/289 -12/85 // 4 - 4/7 - 4/289 - 4/85 : 1/6 x 505505505 / 711711711 - 2005
B = 2003 x [2004 ^2003 + 2004^2002 + ..... + 2004 + 1] - 2004^2004 - 5
C= 2003 x 1986 + 2002 x 17 + 2020 / 2003 x 2004 - 2003 ^2
jup mik nhe
\(\dfrac{2-x}{2002}-1=\dfrac{1-x}{2003}-\dfrac{x}{2004}\)
`(2-x)/2002-1=(1-x)/2003-x/2004`
`<=>(2-x)/2002-1+(x-1)/2003+x/2004=0`(chuyển vế)
`<=>(2-x)/2002+1+(x-1)/2003-1+x/2004-1=0`
`<=>(2004-x)/2002+(x-2004)/2003+(x-2004)/2004=0`
`<=>(x-2004)(1/2003+1/2004-1/2002)=0`
`<=>x=2004` do `1/2003+1/2004-1/2002 ne 0`
Vậy `x=2004`
tìm số x,y,x TM\(\frac{\sqrt{x-2002}-1}{x-2002}+\frac{\sqrt{y-2003}-1}{y-2003}+\frac{\sqrt{z-2004}-1}{z-2004}=\frac{3}{4}\)
\(\frac{\sqrt{x-2002}}{x-2002}-\frac{1}{x-2002}+\frac{\sqrt{y-2003}}{y-2003}-\frac{1}{y-2003}+\frac{\sqrt{z-2004}}{z-2004}-\frac{1}{z-2004}=\frac{3}{4}\)
\(1-\frac{1}{x-2002}+1-\frac{1}{y-2003}+1-\frac{1}{z-2004}=\frac{3}{4}\)
\(3-\frac{1}{x-2002}-\frac{1}{y-2003}-\frac{1}{z-2004}=\frac{3}{4}\)
\(\frac{1}{x-2002}+\frac{1}{y-2003}+\frac{1}{z-2004}=3-\frac{3}{4}=\frac{9}{4}\)
=> không có giá trị x,y,z thỏa mãn đề
(2001/2002 +2002/2003 + 2003/2004) x(1/3 - 1/4 - 1/12)
thực sự bạn có thể bấm máy tính đó đồ ngốc, ahihi
Với lại đây là toán hsg, vào phòng thi ngta cho mang máy tính à
1/(x+2001)(x+2002) +1/(x+2002)(x+2003)+(1/(x+2003)(x+2004)+.......+ 1/(x+2006)(x+2007) =7/8
giải giúp mình chi tiết nha.
Tìm x biết, (x-1)/ 2004 + (x-2)/ 2003 - (x-1) / 2002= (x-4)/ 2001
x-1/2004+x-2/2003-x-3/2002=x-4/2001
\(\dfrac{x+1}{2004}+\dfrac{x+2}{2003}=\dfrac{x+3}{2002}+\dfrac{x+4}{2001}\)
\(\Leftrightarrow\dfrac{x+1}{2004}+1+\dfrac{x+2}{2003}+1=\dfrac{x+3}{2002}+1+\dfrac{x+4}{2001}+1\)
\(\Leftrightarrow\left(x+2005\right)\left(\dfrac{1}{2004}+\dfrac{1}{2003}-\dfrac{1}{2002}-\dfrac{1}{2001}\right)=0\)
\(\Leftrightarrow x=-2005\)
Tìm x biết: (x-1/2004)+(x-2/2003)-(x-3/2002)=x-4/2001
\(\left(x-\frac{1}{2004}\right)+\left(x-\frac{2}{2003}\right)-\left(x-\frac{3}{2002}\right)=x-\frac{4}{2001}\)
\(x-\frac{1}{2004}+x-\frac{2}{2003}-x+\frac{3}{2002}-x=-\frac{4}{2001}\)
\(x+x-x-x-\frac{1}{2004}-\frac{2}{2003}+\frac{3}{2002}=-\frac{4}{2001}\)
\(0x-\frac{1}{2004}-\frac{2}{2003}+\frac{3}{2002}=-\frac{4}{2001}\)
\(\Rightarrow\) Vô lý
Vậy \(x\in\phi\)