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\(a)\frac{5}{8}-x=2\frac{1}{6}\)
\(\Rightarrow\frac{5}{8}-x=\frac{13}{6}\)
\(\Rightarrow x=\frac{5}{8}-\frac{13}{6}\)
\(\Rightarrow x=\frac{15}{24}-\frac{52}{24}\)
\(\Rightarrow x=-\frac{37}{24}\)
\(b)\) \(\frac{4}{9}:x=-\frac{1}{3}+1\frac{1}{6}\)
\(\Rightarrow\frac{4}{9}:x=-\frac{1}{3}+\frac{7}{6}\)
\(\Rightarrow\frac{4}{9}:x=-\frac{2}{6}+\frac{7}{6}\)
\(\Rightarrow\frac{4}{9}:x=\frac{5}{6}\)
\(\Rightarrow x=\frac{4}{9}:\frac{5}{6}\)
\(\Rightarrow x=\frac{4}{9}.\frac{6}{5}\)
\(\Rightarrow x=\frac{8}{15}\)
\(c)\left(3x-2\right)^3=-\frac{1}{27}\)
\(\Rightarrow3x-2=-\frac{1}{3}\)
\(\Rightarrow3x=-\frac{1}{3}+2\)
\(\Rightarrow3x=-\frac{1}{3}+\frac{6}{3}\)
\(\Rightarrow3x=\frac{5}{3}\)
\(\Rightarrow x=\frac{5}{3}:3\)
\(\Rightarrow x=\frac{5}{9}\)
d ) và e ) tự làm
Chúc bạn học tốt !!!
Câu 1:
16 - 18|x| = - 8 - 14|x|
18|x| - 14|x| = 16 + 8
4|x| = 24
|x| = 24 : 4
|x| = 6
x = - 6 hoăc x = 6
Vậy x ∈ {-6; 6}
a\()\)\(x+\frac{3}{4}\)=\(\frac{-3}{3}\)
x=\(-1\)-\(\frac{3}{4}\)
x=\(\frac{-7}{4}\)
b\()\)\(\frac{1}{2}\)-x=\(\frac{7}{2}\)
x=\(\frac{1}{2}\)-\(\frac{7}{2}\)
x=\(\frac{-6}{2}\)
x= -3
c\()\)\(\frac{3}{4}\)x+\(\frac{1}{5}\)=\(\frac{1}{6}\)
\(\frac{3}{4}\)x=\(\frac{-1}{30}\)
x=\(\frac{-1}{30}\)\(\div\)\(\frac{3}{4}\)
x=\(\frac{-2}{45}\)
d\()\)\(\frac{x}{16}\)=\(\frac{1}{4}\)
4x=16
x=4
Good luck
Câu 1:
16 - 18|x| = - 8 - 14|x|
18|x| - 14|x| = 16 + 8
4|x| = 24
|x| = 24 : 4
|x| = 6
x = - 6 hoăc x = 6
Vậy x ∈ {-6; 6}
e) 15-3|4x +2| = 3
3|4x + 2| = 15 - 3
3|4x + 2| = 12
|4x + 2| = 12 : 3
|4x + 2| = 4
4x + 2 = -4 hoặc 4x + 2 = 4
Th1: 4x + 2 = - 4
4x = - 4 - 2
4x = - 6
x = - 6/4
x = - 3/2
Th2: 4x + 2 = 4
4x = 4 - 2
4x = 2
x = 2/4
x = 1/2
Vậy x ∈ {- 3/2; 1/2}
a) \(\frac{-2}{3}.\left|x\right|=16\)
\(\left|x\right|=16:\frac{-2}{3}\)
\(\left|x\right|=-24\)
\(\Rightarrow\text{ x không tồn tại}\)
b) \(\frac{-1}{2}.x+\frac{2}{3}.\frac{-5}{4}=\frac{3}{5}-\frac{5}{6}\)
\(\frac{-1}{2}.x+\left(\frac{-5}{6}\right)=-\frac{7}{30}\)
\(\frac{-1}{2}.x=\frac{-7}{30}+\frac{5}{6}\)
\(-\frac{1}{2}.x=\frac{3}{5}\)
\(x=\frac{3}{5}:\frac{-1}{2}\)
\(x=-\frac{6}{5}\)
c) \(2.\left(x+1\right)=3x-4\)
\(2x+2=3x-4\)
\(4+2=3x-2x\)
\(x=6\)