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\(a,\left|x-11\right|+x-11=0\)
\(\Rightarrow\left|x-11\right|=11-x\)
\(\Rightarrow\orbr{\begin{cases}x-11=11-x\\x-11=x-11\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=11\\x...\left(dbl>:\right)\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\frac{9}{20}\) c) \(\frac{-55}{4}\)
b) \(\frac{116}{75}\) d) \(\frac{-76}{45}\)
đúng hết đấy nhé mình tính kĩ lắm ko sai đâu
chúc may mắn
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a) 25.76+24.35 + \(5^3.2^3\)=x
25.76+24.35+ 125. 8=x
1900+ 840+1000=x
2740+840+1000=x
3580+1000=x
4580=x. Vậy x= 4580
b) 4x-166=\(3^3:3^2\)
4x-166=3
4x= 166+3
4x= 169
x= 169: 4
x= 42,25
c) x-4.\(5^2+3^2:2^4\)= 0
x- 4.25+ 9: 16=0
x- 100+0,5625=0
x - 100,5625=0
x=0+100,5625
x= 100,5625
d) 4x - 158 = \(2^3.3^2\)-50
4x-158= 8.9-50
4x-158= 72-50
4x-158= 22
4x= 158+22
4x=180
x= 180:4
x= 45
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a, \(x\left(x+5\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x+5=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=-5\end{cases}}}\)
b, \(\left(2x-6\right)\left(-4x-8\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-6=0\\-4x-8=0\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}}\)
a, => x = 0 hoặc x + 5 = 0
=> x = 0 hoặc x = -5
b, => 2x - 6 = 0 hoặc -4x - 8 = 0
=> x = 3 hoặc x = -2
Tk mk nha
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a) \(\frac{2}{5}:\left(2x+\frac{3}{4}\right)=-\frac{7}{10}\)
=> \(2x+\frac{3}{4}=-\frac{7}{10}:\frac{2}{5}\)
=> \(2x+\frac{3}{4}=-\frac{7}{4}\)
=> \(2x=\frac{-7}{4}-\frac{3}{4}\)
=> \(2x=-\frac{5}{2}\)
=> \(x=\frac{-5}{2}:2\)
=> \(x=\frac{-5}{4}\)
b) \(\frac{x+1}{3}=\frac{2-x}{2}\)
\(\Rightarrow2\left(x+1\right)=3\left(2-x\right)\)
\(\Rightarrow2x+2=6-3x\)
\(\Rightarrow2x-3x=6-2\)
\(\Rightarrow-x=4\)
\(\Rightarrow x=4\)
c) \(\left|x-\frac{3}{5}\right|.\frac{1}{2}-\frac{1}{5}=0\)
\(\Rightarrow\left|x-\frac{3}{5}\right|.\frac{1}{2}=\frac{1}{5}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{1}{5}:\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{2}{5}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{3}{5}=\frac{2}{5}\\x-\frac{3}{5}=-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{3}{5}+\frac{2}{5}\\x=\frac{3}{5}+-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
d) \(x^2-4x=0\)
Ta có : \(x^2-4x=0\)
\(\Rightarrow xx-4x=0\)
\(\Rightarrow x\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=0+4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : \(\left|2x+4\right|+\left|4x+8\right|=0\left|2x+4\right|+\left|4x+8\right|=0\)
\(\Rightarrow\left|2x+4\right|+2.\left|2x+4\right|=\left|4x+8\right|=0\)
\(\Rightarrow\left|2x+4\right|\left(1+2\right)=0\)
=> |2x + 4| = 0
=> 2x + 4 = 0
=> 2x = -4
=> x = -2
1. Đề đúng phải là thế này: \(\left|2x+4\right|+\left|4x+8\right|=0\)
\(\Rightarrow\left|2x+4\right|=\left|4x+8\right|=0\)
\(\Rightarrow2x+4=4x+8=0\)
\(\Rightarrow x=-\frac{4}{2}=-\frac{8}{4}\)
\(\Rightarrow x=-2\)
2. Sửa lại đề : \(\left|x-5\right|-\left|x-7\right|=0\)
\(\Rightarrow\left|x-5\right|=\left|x-7\right|\)
\(\Rightarrow\orbr{\begin{cases}x-5=x-7\\x-5=-\left(x-7\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-5=-7\\x-5=-x+7\end{cases}}\)
( Loại trường hợp 1)
\(\Rightarrow2x=12\)
\(\Rightarrow x=6\)
3. \(\left|x+8\right|-\left|2x+2\right|=0\)
\(\Rightarrow\left|x+8\right|=\left|2x+2\right|\)
\(\Rightarrow\orbr{\begin{cases}x+8=2x+2\\x+8=-\left(2x+2\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x+2=8\\x+8=-2x-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\3x=-10\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=-\frac{10}{3}\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,x^2+4x=0\)
\(x\cdot\left(x+4\right)=0\)
\(\hept{\begin{cases}x=0\\x+4=0\end{cases}\Rightarrow\hept{\begin{cases}x=0\\x=-4\end{cases}}}\)
\(b,x^2+3x+2=0\)
\(x^2+x+2x+2=0\)
\(\left(x+1\right)\left(x+2\right)=0\)
\(\hept{\begin{cases}x+1=0\\x+2=0\end{cases}\Rightarrow\hept{\begin{cases}x=-1\\x=-2\end{cases}}}\)
1) \(x^2+4x=0\)
\(\Leftrightarrow x\left(x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-4\end{cases}}}\)
Vậy x=0; x=-4
2) \(x^2+3x+2=0\)
\(\Leftrightarrow x^2+x+2x+2=0\)
\(\Leftrightarrow x\left(x+1\right)+2\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=-2\end{cases}}}\)
Vậy x=-1; x=-2
Ta có :
\(x^2-4x+5=0\)
\(\Rightarrow x^2-2x-2x+4+1=0\)
\(\Rightarrow x\left(x-2\right)-2\left(x-2\right)+1=0\)
\(\Rightarrow\left(x-2\right)\left(x-2\right)=0-1\)
\(\Rightarrow\left(x-2\right)^2=-1\)
Mà \(\left(x-2\right)^2\ge0\)
\(\Rightarrow\left(x-2\right)^2\ne-1\)
\(\Rightarrow\)Ko có giá trị x thỏa mãn
Công thức nè bạn ơi :
\(\left(x-2\right)^2=x^2-4x+4\)