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A. x = 2
B. \(\dfrac{3}{8}=\dfrac{6}{x}\)\(\Leftrightarrow x=\dfrac{6.8}{3}=16\)
C. x = 3
D. \(x=\dfrac{4.6}{8}=3\)
E. \(x=\dfrac{7}{3}\)
G.\(\dfrac{14}{13}=\dfrac{28}{10-x}\)
<=>\(14\left(10-x\right)=364\)
<=> 10 - x = 26
<=> x = -16
H. \(3\left(x+2\right)=4\left(x-5\right)\)
<=> 3x + 6 = 4x - 20
<=> -x = -26
<=> x = 26
K. \(\dfrac{x}{2}=\dfrac{8}{x}\)
<=> \(x^2=16\)
<=> \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
M. \(\left(x-2\right)^2=100\)
<=> \(\left[{}\begin{matrix}x-2=10\\x-2=-10\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-8\end{matrix}\right.\)
a=2
b=16
c=3
d=3
mik chỉ biết thế này thôi(ko chắc đúng=3)
\(\text{Phần a :}\)
\(\frac{2}{3}.x=\frac{-4}{27}\)
\(\Rightarrow x=\frac{-4}{27}:\frac{2}{3}=\frac{-2}{9}\)
\(\text{Phần b :}\)
\(-1\frac{1}{3}.x=1\frac{1}{15}\)
\(\Rightarrow\frac{-4}{3}.x=\frac{16}{15}\)
\(\Rightarrow x=\frac{16}{15}:\frac{-4}{3}=\frac{-4}{5}\)
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
\(a,\left[x+\frac{1}{3}\right]^3=-\frac{8}{27}\)
\(\Leftrightarrow\left[x+\frac{1}{3}\right]^3=\left[-\frac{2}{3}\right]^3\)
\(\Leftrightarrow x+\frac{1}{3}=-\frac{2}{3}\)
\(\Leftrightarrow x=-\frac{2}{3}-\frac{1}{3}=-1\)
Vậy x = -1
a) (x+1/3)3 = -8/27
<=> (x+1/3)3 = (-2/3)3
<=> x + 1/3 = -2/3
<=> x = -1
b) \(\frac{1}{4}x-\frac{8}{12}=1-\frac{3}{2}x\)
\(\Leftrightarrow\frac{7}{4}x=\frac{5}{3}\)
<=> x = 20/21
3. (-8) - (-15)
= (-24) - (-15)
= -9
(-2)^3 + 14 : (-7)
= (-2)^3 + (-2)
= (-8) + (-2)
= -10
c) 4. (12-27) - 3.(-18)
= 4. (-15) - 3.(-18)
= -60 - 3.(-18)
= -60 - 54
= -6
giúp mik với mn ơi , mik cần gấp , ai trả lời đúng mik k đúng cho nhé , thank mn nhìu
a) \(\dfrac{1}{2}-\left(x+\dfrac{1}{3}\right)=\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{-1}{3}\)
\(\Rightarrow x=\dfrac{-1}{3}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{-2}{3}\)
b)\(\dfrac{3}{4}-\left(x+\dfrac{1}{2}\right)=\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{3}{4}-\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{-1}{20}\)
\(\Rightarrow x=\dfrac{-1}{20}-\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{-11}{20}\)
c) \(\dfrac{3}{35}-\left(\dfrac{3}{5}+x\right)=\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{3}{35}-\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{-1}{5}\)
\(\Rightarrow x=\dfrac{-1}{5}-\dfrac{3}{5}\)
\(\Rightarrow x=\dfrac{-4}{5}\)
d)\(\dfrac{2}{3}.x=\dfrac{4}{27}\)
\(\Rightarrow x=\dfrac{4}{27}:\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{9}\)
e) \(\dfrac{-3}{5}.x=\dfrac{21}{10}\)
\(\Rightarrow x=\dfrac{21}{10}:\dfrac{-3}{5}\)
\(\Rightarrow x=\dfrac{-7}{2}\)
a ) |x| + 28 = 35 \(\Rightarrow\) |x| = 35 - 28 = 7
\(\Rightarrow\)x = 7 hoặc x = - 7
b ) |x| + 29 = 15 \(\Rightarrow\)|x| = 15 - 29 = - 6
\(\Rightarrow\)x = -7
c ) |x-1| = 0 \(\Rightarrow\)x - 1 = 0
\(\Rightarrow\)x = 1
d ) 2 x | x+2 | = 16 \(\Rightarrow\)| x+2 | = 16 : 2 = 8
\(\Rightarrow\)x + 2 = 8 hoặc x + 2 = - 8
x = 8 -2 x = - 8 - 2
x = 6 x = -10
e ) 3 x | x-1 | = 12 - 3
3 x | x-1 | = 9
| x-1 | = 9 : 3
| x-1 | = 3 \(\Rightarrow\)x - 1 = 3 hoặc x - 1 = - 3
x = 3 + 1 x = - 3 + 1
x = 4 x = -2
\(-\dfrac{4}{3}+\dfrac{3}{2}:\dfrac{27}{12}=\dfrac{-4}{3}+\dfrac{3}{2}\cdot\dfrac{12}{27}\)
\(=\dfrac{-4}{3}+\dfrac{3}{2}\cdot\dfrac{4}{9}=\dfrac{-4}{3}+\dfrac{2}{3}=-\dfrac{2}{3}\)