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Theo đầu bài ta có:
\(2x\left(x-\frac{1}{7}\right)=0\)
\(\Rightarrow\hept{\begin{cases}2x=0\\x-\frac{1}{7}\end{cases}=0}\)
\(\Rightarrow\hept{\begin{cases}x=0\\x=\frac{1}{7}\end{cases}}\)
\(2x.\left(x-\frac{1}{7}\right)=0\Rightarrow2x=0\)hoặc \(x-\frac{1}{7}=0\)
\(\Rightarrow x=0\)hoặc \(x=\frac{1}{7}\)
vì (x-2/3)(x+1/4)=0 nên x-2/3=0 hoặc x+1/4=0
x-2/3=0
x=o+2/3=2/3
x+1/4=0
x=0-1/4=-1/4
a) \(\frac{1}{3}+\frac{2}{3}:x=-7\)
=> \(\frac{2}{3}:x=-7-\frac{1}{3}\)
=> \(\frac{2}{3}:x=-\frac{22}{3}\)
=> \(x=\frac{2}{3}:\left(-\frac{22}{3}\right)\)
=> \(x=-\frac{1}{11}\)
b) \(\frac{1}{3}x+\frac{2}{5}x=0\)
=> \(\frac{11}{15}x=0\)
=> \(x=0\)
c) \(\left(2x-3\right)\left(6-2x\right)=0\)
=> \(\left(2x-3\right)\left(3-x\right).2=0\)
=> \(\left(2x-3\right)\left(3-x\right)=0\)
=> \(\orbr{\begin{cases}2x-3=0\\3-x=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{3}{2}\\x=3\end{cases}}\)
a) \(\frac{1}{3}+\frac{2}{3}:x=-7\)
\(\Rightarrow\frac{2}{3}.\frac{1}{x}=-7-\frac{1}{3}\)
\(\Rightarrow\frac{2}{3x}=\frac{-21-1}{3}\)
\(\Rightarrow\frac{2}{3x}=\frac{-22}{3}\)
\(\Rightarrow-22.3x=6\)
\(\Rightarrow3x=\frac{-6}{22}=\frac{-3}{11}\)
\(\Rightarrow x=\frac{-3}{11}:3=\frac{-3}{11}.\frac{1}{3}\)
\(\Rightarrow x=\frac{-1}{11}\)
b) \(\frac{1}{3}x+\frac{2}{5}x=0\)
\(\Rightarrow x.\left(\frac{1}{3}+\frac{2}{5}\right)=0\)
\(\Rightarrow x=0\)
c) \(\left(2x-3\right).\left(6-2x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-3=0\\6-2x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=3\\2x=6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=3\end{cases}}\)
d) \(x:\frac{3}{4}+\frac{1}{4}=\frac{-2}{3}\)
\(\Rightarrow x.\frac{4}{3}=\frac{-2}{3}-\frac{1}{4}\)
\(\Rightarrow x.\frac{4}{3}=\frac{-11}{12}\)
\(\Rightarrow x=\frac{-11}{12}:\frac{4}{3}=\frac{-11}{12}.\frac{3}{4}=\frac{-11}{16}\)
e) \(\frac{3}{4}-\left|x-\frac{2}{3}\right|=\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{2}{3}\right|=\frac{3}{4}-\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{2}{3}\right|=\frac{1}{4}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{2}{3}=\frac{1}{4}\\x-\frac{2}{3}=\frac{-1}{4}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{11}{12}\\x=\frac{5}{12}\end{cases}}\)
\(x\left(2x-4\right)-2x\left(x+3\right)-3\left(x-1\right)-29=0\)
\(\Leftrightarrow2x^2-4x-2x^2-6x-3x+3-29=0\)
\(\Leftrightarrow-13x-26=0\)
\(\Leftrightarrow-13x=26\)
\(\Leftrightarrow x=26:-13\)
\(\Leftrightarrow x=-2\)
Vậy ...
\(x\left(2x-4\right)-2x\left(x+3\right)-3\left(x-1\right)-29=0\)
\(2x^2-4x-2x^2-6x-3x+3-29=0\)
\(2x^2-4x-2x^2-6x-3x=0+29-3\)
\(\left(2x^2-2x^2\right)+\left(-4x-6x-3x\right)=26\)
\(0+\left(-4-6-3\right)x=26\)
\(\Rightarrow-13x=26\rightarrow x=-2\)
|6-2x|+|x-13|=0
\(\orbr{\begin{cases}6-2x=0\\x-13=0\end{cases}}\)
\(\orbr{\begin{cases}2x=6-0=6\\x=0+13=13\end{cases}}\)
\(\orbr{\begin{cases}x=6:2=3\\x=13\end{cases}}\)
Vậy x thuộc {3,13}
a) 2x-(-3)=7
2x+3=7
2x =4
x=4:2=2
b) -3x+8=-7
-3x = -15
x = -15:(-3)
x =5
c)\(\left(x-5\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-6\end{cases}}}\)
vậy x= 5 hoặc x=-6
d)\(\left(x-6\right)\left(7-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\7-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}}\)
vậy x=6 hoặc x=7
\(2x+12=3.\left(x-7\right)\)
\(2x+12=3x-21\)
\(2x+12-3x+21=0\)
\(33-x=0\Leftrightarrow x=33\)
Vay x=33
\(2x+12=3\left(x-7\right)\)
\(2x+12=3x-21\)
\(2x-3x=-21-12\)
\(-1x=-33\)
\(x=33\)
Ta có: 2x - ( 1/7 - x ) = 0
=> 2x - 1/7 + x = 0
=> 3x - 1/7 = 0
=> 3x = 1/7
=> x = 1/7 : 3
=> x = 1/21
Nhưng bạn ơi trong sách giải ghi là x = 0 va x = 1/7
Tai ko có ghi cách giải nên mình ms hỏi mn