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| x | + | 2x - 3 | = 0 (1)
Ta có \(\hept{\begin{cases}\left|x\right|\ge0\\\left|2x-3\right|\ge0\end{cases}}\forall x\)
\(\Rightarrow\left|x\right|+\left|2x-3\right|\ge0\forall x\) (2)
Từ (1) và (2) => (1) \(\Leftrightarrow\) \(\hept{\begin{cases}\left|x\right|=0\\\left|2x-3\right|=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\2x-3=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\2x=3\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\x=\frac{3}{2}\end{cases}}\)
\(\Leftrightarrow x\in\varnothing\)
Vậy \(x\in\varnothing\)
@@ Học tốt
!!! K chắc
400 : { 5 . [ 360 - ( 290 + 2 . 55 )]}
= 400 : { 5 . [ 360 - ( 290 + 2 . 25 )]}
= 400 : { 5 . [ 360 - ( 290 + 50 )]}
= 400 : [ 5 . ( 360 - 340 )]
= 400 : ( 5 . 20 )
= 200 : 100 = 2
\(a.3\times2^3+3\times4^2\)
\(=3\times2^3+3\times\left(2^2\right)^2\)
\(=3\times2^3+3\times2^4\)
\(=3\times\left(2^3+2^4\right)=3\times\left(8+16\right)=3\times24=72\)
\(\left[\left(20-2^3.4\right)+\left(3^2.4.16\right)\right]:5\)
\(=\left[\left(-12\right)+576\right]:5\)
\(=564:5=112,8\)
PP/ss: Có thể tính sai ạ ((:
\(\left[\left(20-2^3.4\right)+\left(3^2.4.16\right)\right]:5\)
\(=\left[-12+\left(3^2.4.16\right)\right]:5\)
\(=\left(-12+576\right):5\)
\(=564:5\)
\(=\frac{564}{5}\)
a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)
\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{5}\)
c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)
\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-77}{120}\)
d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{-7}{20}\)
e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-59}{105}\)
g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
Đặt A = \(\frac{1}{2.5}+\frac{1}{5.8}+...+\frac{1}{23.26}+\frac{1}{26.29}\)
3A = \(\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{23.26}+\frac{3}{26.29}\)
= \(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{23}-\frac{1}{26}+\frac{1}{26}-\frac{1}{29}\)
= \(\frac{1}{2}-\frac{1}{29}\)\(=\frac{27}{58}\)
A = \(\frac{27}{58}:3=\frac{9}{58}\)
\(\frac{1}{2.5}+\frac{1}{5.8}+...+\frac{1}{23.26}+\frac{1}{26.29}=\frac{1}{3}.\left(\frac{3}{2.5}+\frac{3}{5.8}+...+\frac{3}{23.26}+\frac{3}{26.29}\right)\)
\(=\frac{1}{3}.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{23}-\frac{1}{26}+\frac{1}{26}-\frac{1}{29}\right)=\frac{1}{3}\left(\frac{1}{2}-\frac{1}{29}\right)\)
\(=\frac{1}{3}.\frac{27}{58}=\frac{9}{58}\)
240.(x-5) = 22.5-20
\(\Rightarrow\)240.(x-5) = 4 . 5 - 20
\(\Rightarrow\)240.(x-5) = 20 - 20
\(\Rightarrow\)240.(x-5) = 0
\(\Rightarrow\)x-5 = 0 : 240
\(\Rightarrow\)x-5 = 0
\(\Rightarrow\)x = 0 + 5
\(\Rightarrow\)x = 5
\(\Rightarrow\)Vậy x = 5
\(\Rightarrow\)240.(x-5)=0
\(\Rightarrow\)x-5= -240
\(\Rightarrow\)x= -240/-5
\(\Rightarrow\)x=48
vậy x=48 k mik nha !