bài 1) 2 I 2x-1I = 1/2
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a, 2x+1=3x-5
1=x-5(giảm cả hai vế đi 2x)
1+5=x
x=6
b,2.(x.2)=5x-1/2
2.2.x=5x-1/2
4x=5x-1/2
4x+1/2=5x(giảm cả hai vế đi 4x)
1/2=x
c,lx-1l=1/2
lxl=1/2+1
lxl=1,5
x=1,5;-1,5
d,I2-3xI+1/2=2/3
l2-3xl=2/3-1/2
l2-3xl=1/3
l3xl=2-1/3
l3xl=5/3
lxl=5/3:3
lxl=5/9
x=5/9;-5/9
e,1/2x-2/3=1/4
1/2x=1/4+2/3
1/2x=11/12
x=11/12:1/2
x=11/6
j,3.(2x-1)=x-2
6x-3=x-2
6x-1=x
1=6x-x
1=5x
x=1/5
g,I1/2x-1I=1/3
l1/2xl=1/3+1
l1/2xl=4/3
lxl=4/3:1/2
lxl=8/3
x=8/3;-8/3
h,I3x-2I-1/2=1
l3x-2l=1+1/2
l3x-2l=3/2
l3xl=3/2+2
l3xl=7/2
lxl=7/2:3
lxl=7/6
x=7/6;-7/6
\(\left|3x-1\right|=\left|2x+5\right|\)
\(\Rightarrow\orbr{\begin{cases}3x-1=2x+5\\3x-1+2x+5=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x-2x=5+1\\5x+4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=-\frac{4}{5}\end{cases}}\)
Ta có: \(\hept{\begin{cases}\left(x-1\right)^2\ge0\\\left|3y-1\right|\ge0\\\left|z+2\right|\ge0\end{cases}}\Rightarrow\left(x-1\right)^2+\left|3y-1\right|+\left|z+2\right|\ge0\)
Dấu "="\(\Leftrightarrow\hept{\begin{cases}\left(x-1\right)^2=0\\\left|3y-1\right|=0\\\left|z+2\right|=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x-1=0\\3y-1=0\\x+2=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=1\\y=\frac{1}{3}\\z=-2\end{cases}}\)
Vậy x = 1, \(y=\frac{1}{3}\),z = -2
a) \(\frac{2}{3}+\frac{1}{3}:x=\frac{3}{5}\)
\(\frac{1}{3}:x=\frac{3}{5}-\frac{2}{3}=\frac{9}{15}-\frac{10}{15}=\frac{-1}{15}\)
\(x=\frac{-1}{15}.\frac{1}{3}\)
\(x=\frac{-1}{45}\)
Vậy x = \(\frac{-1}{45}\)
c) \(\left|2x-1\right|+1=4\)
\(\left|2x-1\right|=4-1=3\)
2x-1 = 3 ; -3
TH1: 2.x - 1 = 3
2.x = 3 + 1 = 4
x = 4 : 2 = 2
TH2: 2.x - 1 = -3
2.x = -3 + 1 = -2
x = -2 : 2 = -1
Vậy x \(\in\){ 2 ; -1 }
Ngại làm ấn máy ==
a, !x-1!=0
\(\Rightarrow x-1=0\)
\(\Rightarrow x=0+1\)
\(\Rightarrow x=1\)
Vậy x=1
b,-11.!3x-1!=-22
\(\Rightarrow!3x-1!=-22:\left(-11\right)\)
\(\Rightarrow!3x-1!=2\)
\(\Rightarrow\orbr{\begin{cases}3x-1=2\\3x-1=-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=2+1\\3x=-2+1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=3\\3x=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=3:3\\x=-1:3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{-1}{3}\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=1\\x=-\frac{1}{3}\end{cases}}\)
c, !x!<2
\(\Rightarrow x\in\left\{-1;0;1\right\}\)
Vậy \(x\in\left\{-1;0;1\right\}\)
Hok tốt nhé!!
A )
| x - 1 | = 0
x = 0 + 1
x = 1
B )
-11 . | 3x - 1 | = -22
| 3x - 1 | = -22 : ( -11 )
| 3x - 1 | = 2
3x = 2 + 1
3x = 3
x = 3 : 3
x = 1
ai giúp mih trả lời vs
<=> |2x-1| = 1/2 : 2 = 1/4
<=> 2x-1 = 1/4 hoặc 2x-1 = -1/4
<=> x= 5/8 hoặc x= 3/8