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a) 2(x-3)-3(x-5)=4(3-x)-18
2x-6-3x-15=12-4x-18
2x-3x+4x=12-18+6+15
3x=15
x=15:3
x=5
Vậy x=5
a) \(\left|x\right|-\frac{3}{4}=\frac{5}{3}\)
\(\left|x\right|=\frac{5}{3}+\frac{3}{4}\)
\(\left|x\right|=\frac{29}{12}\)
\(\orbr{\begin{cases}x=\frac{29}{12}\\x=-\frac{29}{12}\end{cases}}\)
Câu 1:a) \(\left(\frac{-5}{12}+\frac{6}{11}\right)+\left(\frac{7}{17}+\frac{5}{11}+\frac{5}{12}\right)\)
\(=\left(\frac{-5}{12}+\frac{5}{12}\right)+\left(\frac{6}{11}+\frac{5}{11}\right)+\frac{7}{17}\)
\(=0+1+\frac{7}{17}\)
\(=\frac{17}{17}+\frac{7}{17}\)
\(=\frac{24}{17}\)
b) \(\frac{7}{12}-\left(\frac{5}{12}-\frac{5}{6}\right)\)
\(=\frac{7}{12}-\frac{5}{12}+\frac{5}{6}\)
\(=\frac{7}{12}-\frac{5}{12}+\frac{10}{12}\)
\(=\frac{7-5+10}{12}\)
\(=1\)
c) \(\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{12}+\frac{1}{30}\)
\(=\frac{5}{60}+\frac{2}{60}\)
\(=\frac{7}{60}\)
Câu 2:a) \(\frac{x}{8}=2+\frac{-3}{2}\)
\(\Leftrightarrow\frac{x}{8}=\frac{4-3}{2}\)
\(\Leftrightarrow\frac{x}{8}=\frac{1}{2}\)
\(\Leftrightarrow2x=8\)
\(\Leftrightarrow x=\frac{8}{2}\)
\(\Leftrightarrow x=4\)
b) \(\frac{-5}{6}+\frac{8}{3}+\frac{29}{-6}\le x\le\frac{-1}{2}+2+\frac{5}{2}\)
\(\Leftrightarrow\frac{-18}{6}\le x\le4\)
\(\Leftrightarrow-3\le x\le4\)
\(\Leftrightarrow x\in\left\{-3;-2;-1;0;1;2;3;4\right\}\)
a/ 2x . 7 = 224
2x = 224 : 7
2x = 32
2x = 25
x = 5.
b/ 32x + 1 . 11 = 2673
32x + 1 = 2673 : 11
32x + 1 = 243
32x + 1 = 35
32x = 35 - 1
32x = 34
2x = 4
x = 4 : 2
x = 2.
c/ (3x + 5)2 = 289
(3x + 5)2 = 172
3x + 5 = 17
3x = 17 - 5
3x = 12
x = 12 : 3
x = 4.
d/ x . (x2)3 = x5
x1 . x5 = x5
x6 = x5
=> x = 0 hoặc x = 1
a) 2x x 7=224
2x=224:7
2x=32
2x=25
=> x=5
Vậy x=5
b) 32x+1 x 11=2673
32x+1=2673:11
32x+1=243
32x+1=35
=> 2x+1=5
x=(5-1):2
x=2
Vậy x=2
c) (3*x+5)2=289
(3*x+5)2=172
=> 3*x+5=17
x=(17-5):3
x=4
Vậy x=4
d) x.(x2)3=x5
x.x6=x5
x=x5:x6
x=x-1
x10=1x x10=x (2x-15)5=(2x-15)3
=>x=1(suy đoán) =>x=1(suy đoán) Hình như đề sai (suy đoán)
a)x10=1x=>x10=1=>x=1
b)x10=x=>x10-x=0=>x(x9-1)=0
TH1.x=0
TH2.x9-1=0
=>x9=1=>x=1
c)(2x-15)5=(2x-15)3
như câu b
a) (2x-6)3 = (2x-6)2018
=> (2x-6)3 - (2x-6)2018 = 0
(2x-6)3.[1-(2x-6)2015 ] = 0
=> (2x-6)3 = 0 =>...
1 - (2x-6)2015 = 0 => (2x-6)2015 = 1 => ...
b) (2x-1)3 = 27 = 33
=> 2x - 1 = 3
=> ...
c) (x + 1) + (x+2) + (x+3) + ...+ (x+100) = 5750
x.100 + (1+2+3+...+100) = 5750
x.100 + [(1+100).100:2] = 5750
x.100 + 5050 = 5750
x.100 = 700
x = 7
a) \(\left(x+\frac{1}{2}\right).\left(\frac{2}{3}-2x\right)=0\)
\(\Rightarrow x+\frac{1}{2}=0\) \(\Rightarrow\frac{2}{3}-2x=0\)
\(x=\frac{-1}{2}\) \(2x=\frac{2}{3}\)
\(x=\frac{2}{3}:2\)
\(x=\frac{1}{3}\)
KL: x = -1/2 hoặc x= 1/3
b) \(\left|2x-\frac{1}{3}\right|+\frac{5}{6}=\frac{11}{6}\)
\(\left|2x-\frac{1}{3}\right|=1\)
TH1: \(2x-\frac{1}{3}=1\)
\(2x=\frac{4}{3}\)
\(x=\frac{2}{3}\)
TH2: \(2x-\frac{1}{3}=-1\)
\(2x=\frac{-2}{3}\)
\(x=\frac{-2}{3}:2\)
\(x=\frac{-1}{3}\)
KL: x =.........
Học tốt nhé bn!!!