a) \(\dfrac{ 2}{3 }\)+\(\dfrac{ 1}{3 }\).\(x^2\)=\((-2)^0\)
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29 tháng 1 2022
a: =>1/2x=7/2-2/3=21/6-4/6=17/6
=>x=17/3
b: =>2/3:x=-7-1/3=-22/3
=>x=2/3:(-22/3)=-1/11
c: =>1/3x+2/5x-2/5=0
=>11/15x=2/5
hay x=6/11
d: =>2x-3=0 hoặc 6-2x=0
=>x=3/2 hoặc x=3
NM
20 tháng 9 2023
\(a,\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\\ \Rightarrow\dfrac{2}{3}x-\dfrac{1}{2}x-\dfrac{2}{5}=-\dfrac{1}{3}\\ \Rightarrow x\left(\dfrac{2}{3}-\dfrac{1}{2}\right)-\dfrac{2}{5}=-\dfrac{1}{3}\\ \Rightarrow x\dfrac{1}{6}=-\dfrac{11}{15}\\ \Rightarrow x=-\dfrac{22}{5}\\ b,\dfrac{1}{3}x+\dfrac{2}{5}.\left(x+1\right)=0\\ \Rightarrow\dfrac{1}{3}x+\left(x+1\right)=-\dfrac{2}{5}\\ \Rightarrow\dfrac{1}{3}x=-\dfrac{2}{5}-\left(x+1\right)\\ \Rightarrow\dfrac{1}{3}x=-\dfrac{7}{5}-x\\ \Rightarrow\dfrac{1}{3}.2x=-\dfrac{7}{5}\\ \Rightarrow2x=-\dfrac{21}{5}\\ \Rightarrow x=-\dfrac{21}{10}.\)
28 tháng 8 2021
a: Ta có: \(3x-\left(3x+2\right)=x+3\)
\(\Leftrightarrow x+3=-2\)
hay x=-5
b: Ta có: \(\dfrac{5x-1}{4}+\dfrac{2x-1}{3}=\dfrac{3x}{2}\)
\(\Leftrightarrow15x-3+8x-4=18x\)
\(\Leftrightarrow5x=7\)
hay \(x=\dfrac{7}{5}\)
28 tháng 8 2021
d: Ta có: \(\dfrac{x}{x+3}-\dfrac{2x}{x-3}-\dfrac{3x}{9-x^2}=0\)
\(\Leftrightarrow x^2-3x-2x^2-6x+3x=0\)
\(\Leftrightarrow-x^2-6x=0\)
\(\Leftrightarrow-x\left(x+6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\left(nhận\right)\\x=-6\left(nhận\right)\end{matrix}\right.\)
14 tháng 5 2021
\(\dfrac{-3}{x-1}+\dfrac{1}{x}+\dfrac{2}{x+2}=0\left(ĐKXĐ:x\notin\left\{1;0;-2\right\}\right)\\ \Leftrightarrow\dfrac{-3x\left(x+2\right)+\left(x-1\right)\left(x+2\right)+2x\left(x-1\right)}{\left(x-1\right).x.\left(x+2\right)}=0\\ \Leftrightarrow-3x^2-6x+x^2+2x-x-2+2x^2-2x=0\\ \Leftrightarrow-7x-2=0\\ \Leftrightarrow x=\dfrac{-2}{7}\)
Chọn B
22 tháng 11 2021
ĐKXĐ: \(x\ne-3,x\ne-2,x\ne1\)
\(A=\dfrac{\left(2-x\right)\left(x+2\right)-\left(3-x\right)\left(x+3\right)+2-x}{\left(x+3\right)\left(x+2\right)}:\dfrac{x-1-x}{x-1}\)
\(=\dfrac{-\left(x+3\right)}{\left(x+3\right)\left(x+2\right)}.\left(1-x\right)=\dfrac{x-1}{x+2}\)
\(A=0\Leftrightarrow\dfrac{x-1}{x+2}=0\Leftrightarrow x=1\left(ktm\right)\Leftrightarrow S=\varnothing\)
25 tháng 2 2023
a: =>x^2+4x-4x+1=0
=>x^2+1=0
=>Loại
b: =>2x-6+4=2x+2
=>-2=2(loại)
c: =>2(x+3)-2x-1=1
=>6-1=1
=>5=1(loại)
d =>x+3=0
=>x=-3(loại)
e: =>x^2-3x^2+3x-3x-2=0
=>-2x^2-2=0
=>x^2+1=0
=>Loại
O
18 tháng 4 2022
a) \(\left(x-\dfrac{1}{2}\right)\left(-3-\dfrac{x}{2}\right)=0\)
Th1 : \(x-\dfrac{1}{2}=0\)
\(x=0+\dfrac{1}{2}\)
\(x=\dfrac{1}{2}\)
Th2 : \(-3-\dfrac{x}{2}=0\)
\(\dfrac{x}{2}=-3\)
\(x=\left(-3\right)\cdot2\)
\(x=-6\)
Vậy \(x\) = \(\left(\dfrac{1}{2};-6\right)\)
b) \(x-\dfrac{1}{8}=\dfrac{5}{8}\)
\(x=\dfrac{5}{8}+\dfrac{1}{8}\)
\(x=\dfrac{3}{4}\)
c) \(-\dfrac{1}{2}-\left(\dfrac{3}{2}+x\right)=-2\)
\(\dfrac{3}{2}+x=-\dfrac{1}{2}-\left(-2\right)\)
\(\dfrac{3}{2}+x=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}-\dfrac{3}{2}\)
\(x=0\)
d) \(x+\dfrac{1}{3}=\dfrac{-12}{5}\cdot\dfrac{10}{6}\)
\(x+\dfrac{1}{3}=-4\)
\(x=-4-\dfrac{1}{3}\)
\(x=-\dfrac{13}{3}\)
\(a,\dfrac{2}{3}+\dfrac{1}{3}\times x^2=\left(-2\right)^0\)
\(\dfrac{2}{3}+\dfrac{1}{3}\times x^2=1\)
\(\dfrac{1}{3}\times x^2=1-\dfrac{2}{3}\)
\(\dfrac{1}{3}\times x^2=\dfrac{1}{3}\)
\(x^2=\dfrac{1}{3}:\dfrac{1}{3}\)
\(x^2=1\)
\(\Rightarrow x=\pm1\)
\(\dfrac{2}{3}+\dfrac{1}{3}.x^2=\left(-2\right)^0\)
\(\Leftrightarrow\dfrac{1}{3}.x^2=1-\dfrac{2}{3}\)
\(\Leftrightarrow\dfrac{1}{3}x^2=\dfrac{1}{3}\)
\(\Leftrightarrow x^2=1\)
\(\Leftrightarrow\left|x\right|=1\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)