Đk : x khác 2
Có : x^2-1/|x-2| = x
=> x^2-1 = x.|x-2|
+, Với x < 2 => x^2-1 = x.(2-x) = 2x-x^2
=> x^2-1-(2x-x^2)=0
=> x^2-1-2x+x^2=0
=> 2x^2-2x-1 = 0
=> x=1+\(\sqrt{3}\)/2 (tm) hoặc x=1-\(\sqrt{3}\)/2 (tm)
+, Với x > 2
=> x^2-1 = x.(x-2) = x^2-2x
=> x^2-1-(x^2-2x) = 0
=> x^2-1-x^2+2x=0
=> 2x-1=0
=> 2x=1
=> x=1/2 (loại )
Vậy .............
Tk mk nha
tìm x nguyên biêt : \(\left(x-3\right)^2\) + \(\left(x-2\right)^2\) + \(\left|x-1\right|\)+ x = 2019
Tìm x,y biêt
b,\(\frac{x}{2}=\frac{y}{5}\left(x-y=7\right)\)
c,\(\frac{x}{2}=\frac{y}{3}=\frac{z}{4}\left(x.y.z=192\right)\)
e,\(x=\frac{y}{2}=\frac{z}{3}\left(2x-y+3z=10\right)\)
Tìm x biêt:
a)5x(x-1\3)=0
b)(x+1\4)(x-2\3)=0
c)1+3x=-5
d)1,5x-\(2\frac{1}{3}\)=1,5-2\3
e)2\3+1\3:x=3\5
y)\(\left(\frac{2x}{3}-3\right):\left(-10\right)=\frac{2}{5}\)
Câu 1:
\(\frac{1}{2}+\frac{5}{6}.3\frac{2}{5}\)
\(\frac{1}{6}.\left(-2\frac{3}{5}\right)+1\frac{2}{3}.\left(\frac{-13}{5}\right)\)
\(\left(3-\frac{2}{3}+\frac{4}{3}\right):\left(2\frac{1}{3}-2,5\right)^2\)
\(\sqrt{16.}|5-2.4|.\sqrt{0,09}\)
Câu 2: Tim x, y biêt
\(-\frac{3}{7}+x=\frac{1}{3}\)
\(|x+\frac{1}{7}|-\frac{2}{3}=0\)
\(\frac{x-2}{x+3}=\frac{x-3}{x+1}\)
Tìm x::\(\frac{1}{x\left(x+1\right)}+\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}-\frac{1}{x}=\frac{1}{2010}\)
Tìm x, biêt:
a) \(\left(\frac{-3}{4}\right)^{3x-1}=\frac{256}{81}\)
b) \(172.x^2-7^9:98^3=2^{-3}\)
1. Tìm x ϵ Q sao cho:
a) (2x-3). (x+1) < 0.
b) \(\left(x-\frac{1}{2}\right).\left(x+3\right)>0\)
2.Tính:
S=\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{999.1001}\)
3.Tìm x: Biết x không thuộc{-2; -5; -10; -17}
\(\frac{3}{\left(x+2\right).\left(x+5\right)}+\frac{5}{\left(x+5\right).\left(x+10\right)}+\frac{7}{\left(x+10\right).\left(x+17\right)}=\frac{x}{\left(x+2\right).\left(x+17\right)}\)
tìm x,biết:
a)\(\frac{2}{\left(x+2\right)\left(x+4\right)}+\frac{4}{\left(x+4\right)\left(x+8\right)}+\frac{6}{\left(x+8\right)\left(x+14\right)}=\frac{x}{\left(x+2\right)\left(x+14\right)}\)
b)\(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)
c)\(\left(x+2\right)^2=\frac{38}{25}+\frac{9}{10}-\frac{11}{15}+\frac{13}{21}-\frac{15}{28}+\frac{17}{36}-...+\frac{197}{4851}-\frac{199}{4950}\)
giúp tớ với,huhu
tìm x
\(\frac{4}{5}x^2\left(\frac{x}{3}-\frac{1}{2}\right)-\left(\frac{1}{2}x-\frac{2}{3}\right)\left(\frac{4x^2}{3}+1\right)=\frac{22}{45}x^2\)
