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12x/6 + 4x/6 - 3x/6 = 3/8 - 1/4 - 1/6
13x/6 = (9 - 6 - 4)/24 = -1/24
--> x = -1/52
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\(-\frac{3}{4}< \frac{x}{6}< -\frac{1}{2}\Leftrightarrow-\frac{9}{12}< \frac{2x}{12}< -\frac{6}{12}\)
\(\Leftrightarrow-9< 2x< -6\)
\(\Leftrightarrow-\frac{9}{2}< x< -3\)
\(\Leftrightarrow-4,5< x< -3\)
\(\Leftrightarrow x=-4\)
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a) \(\frac{3}{2}x-\frac{2}{5}=\frac{1}{3}x-\frac{1}{4}\)
\(\Rightarrow\frac{3}{2}x-\frac{1}{3}x=-\frac{1}{4}+\frac{2}{5}\)
\(\frac{7}{6}x=\frac{3}{20}\Rightarrow x=\frac{9}{70}\)
b) \(-5^{\frac{1}{2}x+1}=\frac{3}{4}-\frac{7}{6}\)
\(-5^{\frac{1}{2}x}.\left(-5\right)=-\frac{5}{12}\)
\(-5^{\frac{1}{2}x}=\frac{1}{12}\)
mà -51/2x mang giá trị âm
1/12 có giá trị dương
=> không tìm được x
c) \(\frac{2x-2}{3}=\frac{7x+3}{2-1}\)
\(\frac{2x-2}{3}=7x+3=\frac{21x+9}{3}\)
=> 2x - 2 = 21x + 9
=> 2x - 21x = 9 + 2
-19x = 11
x = -11/19
phần d bn lm như phần a nha
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- a, Do \(\left[3x-15\right]^7=0\)
=> \(3x-15=0\)
=> \(3x=0+15\)
=> \(3x=15\)
=> \(x=15:3\)
=> \(x=5\)
\(\left(3x-5\right)^7=0\)
\(\Rightarrow3x-5=0\)
\(\Rightarrow3x=5\)
\(\Rightarrow x=\frac{5}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-\frac{3}{4}< \frac{x}{6}< -\frac{1}{2}\) <=> \(-\frac{9}{12}< \frac{2x}{12}< -\frac{6}{12}\)
<=> \(-9< 2x< -6\)
<=> \(-\frac{9}{2}< x< -3\)
<=> \(-4,5< x< -3\)
<=> \(x=-4\)
\(\left(x-1\right)^4:3^2=3^6\)
\(\left(x-1\right)^4=3^6.3^2\)
\(\left(x-1\right)^4=3^8\)
\(\left(x-1\right)^4=3^{2.4}=\left(3^2\right)^4=9^4\)
\(\Rightarrow\orbr{\begin{cases}x-1=9\\x-1=-9\end{cases}\Rightarrow\orbr{\begin{cases}x=9+1=10\\x=-9+1=-8\end{cases}}}\)
Vậy: \(\orbr{\begin{cases}x=10\\x=-8\end{cases}}\)
( x - 1 )4 : 32 = 36
( x - 1 )4 = 36 . 32
( x - 1 )4 = 38
( x - 1 )4 = 6561
( x - 1 )4 = 94
x - 1 = 9
x = 10