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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) \(\frac{3}{4}-\left|x-\frac{2}{3}\right|=\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{2}{3}\right|=\frac{3}{4}-\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{2}{3}\right|=\frac{1}{4}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{2}{3}=\frac{1}{4}\\x-\frac{2}{3}=\frac{-1}{4}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{11}{12}\\x=\frac{5}{12}\end{cases}}\)
a) \(\frac{3}{4}x-\frac{1}{4}=2\left(x-3\right)+\frac{1}{4}x\)
\(\frac{3}{4}x-\frac{1}{4}=2x-6+\frac{1}{4}x\)
\(\frac{3}{4}x-2x-\frac{1}{4}x=\frac{1}{4}-6\)
\(x\left(\frac{3}{4}-2-\frac{1}{4}\right)=-\frac{23}{4}\)
\(-\frac{3}{2}x=-\frac{23}{4}\)
\(x=-\frac{23}{4}\div\left(-\frac{3}{2}\right)\)
\(x=\frac{23}{6}\)
= 17- {-32-(-27)-[5.(-41)-12 : 1]+157}
= 17 - {-32+27-5.(-41)+12 : 1 +157}
= 17 - (-32)-27+5.(-41) - 12 : 1 - 157
= 17 + 32 -27 +5 . ( -41) -12 :1 - 157
= 17 + 32 - 27 + (-205) -12 -157
= 49 -27 +(-205) -12-157
= 22 + (-205) -12 -157
=-183 - 12 -157
= - 195 -157
= -352
mk chúc bạn học tốt
( 2 x - 5 ) + 17 = 6
( 2x - 5) = 23
2x = 28
x = 14
2/. 10 - 2 ( 4 - 3x) = -4
10 - 8 - (-6x) = -4
6x = -4 -10 + 8
6x = -6
x = -1
3/. -12 + 3( -x + 7) = -18
-12 + ( -3x) + 21 = -18
-3x = -18 + 12 - 21
-3x = -27
x= -9
4/. 24 : ( 3x - 2) = -3
3x - 2 = 8
3x = 10
x = 10/3
5/. -45 : 5. ( -3 - 2x) = 3
5( -3 - 2x ) =-15
-3 - 2x = -3
-2x=0
x = 0
hok tốt!!!
a) \(\left(x-4\right)\left(x+2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=4\\x=-2\end{cases}}}\)
Vậy \(x\in\left\{4;-2\right\}\)
b) \(4\left(x+1\right)-\left(3x+1\right)=14\)
\(\Leftrightarrow4\left(x+1\right)-3x-1=14\)
\(\Leftrightarrow4x+4-3x-1=14\)
\(\Leftrightarrow x+3=14\)
\(\Leftrightarrow x=11\)
Vậy \(x=11\)
\(\left(\frac{2}{3}x-\frac{1}{2}\right).\frac{3}{4}-\frac{2}{5}x=\frac{17}{4}\)
\(< =>\frac{x2}{3}.\frac{3}{4}-\frac{1}{2}.\frac{3}{4}-\frac{2x}{5}=\frac{17}{4}\)
\(< =>\frac{x}{10}-\frac{3}{8}=\frac{17}{4}\)
\(< =>\frac{8x}{80}-\frac{30}{80}=\frac{340}{80}\)
\(< =>8x=340+30=370\)
\(< =>x=\frac{370}{8}=\frac{185}{4}\)
nghiệm khá xấu
\(\frac{2}{3}x-\frac{3}{4}-\frac{1}{4}=0\)
\(\frac{2}{3}x=\frac{2}{3}+\frac{1}{3}\)
\(\frac{2}{3}x=1\)
\(x=\frac{3}{2}\)