a: TH1: x<-3/2
Pt sẽ là x+1/2-x-2(-2x-3)=5-2(x+1)
=>1/2+4x+6=5-2x-2
=>4x+13/2=-2x+3
=>6x=3-13/2=6/2-13/2=-7/2
=>x=-7/6(loại)
TH2: -3/2<=x<1/2
Pt sẽ là x+1/2-x-2(2x+3)=5-2x-2
=>1/2-4x-6=-2x+3
=>-4x-11/2=-2x+3
=>-2x=3+11/2=17/2
=>x=-17/4(loại)
TH3: x>=1/2
Pt sẽ là x+x-1/2-2(2x+3)=5-2x-2
=>2x-1/2-4x-6=-2x+3
=>-2x-13/2=-2x+3(loại)
tìm x , biết :
a, \(\dfrac{37-x}{2x+5}=\dfrac{4}{9}\)
b, \(\dfrac{x-2}{x-1}=\dfrac{x+4}{x+7}\)
c, \(\dfrac{x+3}{25}=\dfrac{9}{x+3}\)
d, \(\dfrac{x}{\dfrac{-2}{3}}=\dfrac{5}{-x}\)
e, \(\dfrac{2x-5}{\dfrac{3}{2}}=\dfrac{\dfrac{-27}{8}}{5-2x}\)
f, \(\dfrac{\dfrac{5}{9}}{\left(3x-1\right)^2}=\dfrac{1-2x}{\dfrac{25}{3}}\)
a) Tìm tập hợp các số nguyên x, biết rằng\(4\dfrac{5}{9}:2\dfrac{5}{18}-7< x< \left(3\dfrac{1}{5}:3,2+4,5.1\dfrac{31}{45}\right):\left(-21\dfrac{1}{2}\right)\)
b) tìm x, biết \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+....+\left|x+\dfrac{1}{110}\right|-11x\)
c)Tính gt biểu thức \(C=2x^3-5y^3+2015\) tại x,y thỏa mãn \(\left|x-1\right|+\left(y+2\right)^{20}=0\)
Tìm x biết:
a, 5x+2>3x-1
b, \(\dfrac{3}{4}.x-\dfrac{1}{2}>\dfrac{1}{2}.x+\dfrac{3}{4}\)
c, (x-2).(x-3)>0
d, (2x+4)(x-5)<0
Tìm x biết :
\(\left|x-\dfrac{1}{2}\right|+\left|x-\dfrac{1}{3}\right|+\left|x-\dfrac{1}{4}\right|+....+\left|x-\dfrac{1}{10}\right|=2x\)
Tìm x , biết :
a,\(\left(x-\dfrac{1}{2}\right)^5=\dfrac{1}{243}\)
b,\(\left|2x-1\right|-x=1\)
c, \(\left|\dfrac{3}{5}-\dfrac{1}{2}x\right|>\dfrac{2}{5}\)
1.Tam giác đều cạnh a có diện tích là bao nhiêu ??
2.Tìm m biết |x-1| + |x-2|=x-3
3.Tìm x để : \(A=\dfrac{x^2+2x+12}{x-5}\) có giá trị nguyên
4.Tìm x: ||2x + 1| - 3| = 4
5.Tìm m biết : \(\left(\dfrac{1}{m}\right)^{\dfrac{9}{m}}=\dfrac{1}{9}\)
Tìm x, biết rằng:
1) ( 2x + 1)3 = -0,001
2) ( 2x -3 )4 = ( 2x-3 )6
3) ( 2x+1 )5 = ( 2x+1)2010
4) \(\dfrac{8}{25}=\dfrac{2^x}{5^{x-1}}\)
5) 9x : 3x = 3
6) \(3^x+3^{x+3}=756\)
7) \(5^{x+1}+6.5^{x+1}=875\)
8) \(2^{x-1}.3^{y+1}=12^{x+9}\)
9) \(3^x=9^{y-1}\)
10) \(2^{x+1}.5^y=20^x\)
11) 15x : 3y = 75y
12) \(\dfrac{3}{5}:\dfrac{2x}{15}=\dfrac{1}{2}:\dfrac{4}{5}\)
13) \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}\) và xy + yz + zx = 104
Tìm x biết:
a) \(\left(x+\dfrac{1}{2}\right)^2=\dfrac{1}{16}\)
b) \(\left(x^4\right)^2=\dfrac{x^{12}}{x^5}\left(x\ne0\right)\)
c) \(\left(2x+3\right)^2=\dfrac{9}{121}\)
d) \(\left(2x-1\right)^3=\dfrac{-8}{27}\)
Bài 1:Tìm x,biết:
a.\(\dfrac{11}{12}\)-\(\left(\dfrac{2}{5}+x\right)\)=\(\dfrac{2}{3}\)
b.\(2\dfrac{3}{4}x=3\dfrac{1}{7}:\left(0,01\right)\)
c.2x . (x-\(\dfrac{1}{7}\)) = 0
d.3,8 : 2x = \(\dfrac{1}{4}:2\dfrac{2}{3}\)
