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1: =>|x-2/3|=-5/4(loại)
2: =>\(5.5+\left|x+2\right|=\dfrac{9}{2}\cdot\left(-3\right)\cdot3=-\dfrac{81}{2}\)
=>|x+2|=-81/2-5,5<0(loại)
3: =>5/2-x=4 hoặc 5/2-x=-4
=>x=-3/2 hoặc x=13/2
\(a,\Leftrightarrow\left[{}\begin{matrix}-\dfrac{4}{3}x+\dfrac{1}{2}=\dfrac{1}{2}\\-\dfrac{4}{3}x+\dfrac{1}{2}=-\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{3}{4}\end{matrix}\right.\\ c,\Leftrightarrow\left(\dfrac{1}{2}\right)^x\left(1+\dfrac{1}{4}\right)=\dfrac{5}{4}\\ \Leftrightarrow\left(\dfrac{1}{2}\right)^x=1\Leftrightarrow x=0\)
b: Ta có: \(3^x+3^{x+2}=20\)
\(\Leftrightarrow3^x\cdot10=20\)
\(\Leftrightarrow3^x=2\left(loại\right)\)
a)\(x+\frac{1}{3}=\frac{3}{4}\)
\(\Rightarrow x=\frac{3}{4}-\frac{1}{3}\)
\(\Rightarrow x=\frac{5}{12}\)
b)\(x-\frac{2}{5}=\frac{5}{7}\)
\(\Rightarrow x=\frac{5}{7}+\frac{2}{5}\)
\(\Rightarrow x=1\frac{4}{35}\)
c)\(-x-\frac{2}{3}=-\frac{6}{7}\)
\(\Rightarrow-x=-\frac{6}{7}+\frac{2}{3}\)
\(\Rightarrow-x=-\frac{4}{21}\)
\(\Rightarrow x=\frac{4}{21}\)
d)\(\frac{4}{7}-x=\frac{1}{3}\)
\(x=\frac{4}{7}-\frac{1}{3}\)
\(\Rightarrow x=\frac{5}{21}\)
a: \(A=\dfrac{5}{4}\cdot\dfrac{11}{3}\cdot\dfrac{-1}{11}=\dfrac{-5}{12}=\dfrac{-25}{60}=\dfrac{-50}{120}\)
b: \(B=\dfrac{3}{4}\cdot\dfrac{1}{12}\cdot\dfrac{2}{3}=\dfrac{1}{24}=\dfrac{5}{120}\)
c: \(C=\dfrac{5}{4}\cdot\dfrac{1}{15}\cdot\dfrac{2}{5}=\dfrac{2}{60}=\dfrac{1}{30}=\dfrac{4}{120}\)
\(D=-3\cdot\dfrac{-7}{12}\cdot\dfrac{1}{-7}=-\dfrac{1}{4}=\dfrac{-30}{120}\)
Vì -50<-30<4<5
nên A<D<B<C
a: \(A=\dfrac{5}{4}\cdot\dfrac{11}{3}\cdot\dfrac{-1}{11}=\dfrac{-5}{12}=\dfrac{-25}{60}=\dfrac{-50}{120}\)
b: \(B=\dfrac{3}{4}\cdot\dfrac{1}{12}\cdot\dfrac{2}{3}=\dfrac{1}{24}=\dfrac{5}{120}\)
c: \(C=\dfrac{5}{4}\cdot\dfrac{1}{15}\cdot\dfrac{2}{5}=\dfrac{2}{60}=\dfrac{1}{30}=\dfrac{4}{120}\)
\(D=-3\cdot\dfrac{-7}{12}\cdot\dfrac{1}{-7}=-\dfrac{1}{4}=\dfrac{-30}{120}\)
Vì -50<-30<4<5
nên A<D<B<C
\(A=\frac{4^6x9^5+6^9x120}{8^4x3^{12}-6^{11}}\)
\(A=\frac{2^{12}x3^{10}+2^9x3^9x2^3x3x5}{2^{12}x3^{12}-2^{11}x3^{11}}\)
\(A=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{10}-2^{11}.3^{11}}\)
\(A=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{10}.\left(2-3\right)}=\frac{2.6}{-1}=-12\)
Ta có: x + 3/-4 = 5/20.
=> x - 3/4 = 1/4.
x = 1/4 + 3/4.
x = 1
là \(\frac{x+3}{-4}\) hay là \(x+\frac{3}{-4}\) vậy nguyễn đức tín