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\(\frac{x}{21}-\frac{2}{3}=\frac{21}{5}\)
=>\(\frac{x}{21}=\frac{21}{5}+\frac{2}{3}\)
=>\(\frac{x}{21}=\frac{73}{15}\)
=>\(x.15=73.21\)
=>\(x.15=1533\)
=>\(x=102,2\)
Vậy x = 102,2

\(+,x\ge\frac{3}{2}\Rightarrow2x-3\ge0\Rightarrow\left|2x-3\right|=2x-3\Rightarrow x-3=21\Rightarrow x=24\left(\text{thoaman}\right)\)
\(+,x< \frac{3}{2}\Rightarrow2x-3< 0\Rightarrow\left|2x-3\right|=3-2x\Rightarrow3-3x=21\Rightarrow x=-6\left(\text{thoaman}\right)\)
2.\(\left|\frac{1}{2}x-\frac{1}{3}\right|-\left|\frac{1}{3}x+\frac{1}{2}\right|=0\Leftrightarrow\left|\frac{1}{2}x-\frac{1}{3}\right|=\left|\frac{1}{3}x+\frac{1}{2}\right|\Leftrightarrow\left[{}\begin{matrix}\frac{1}{2}x-\frac{1}{3}=\frac{1}{3}x+\frac{1}{2}\\\frac{1}{2}x-\frac{1}{3}=-\frac{1}{2}-\frac{1}{3}x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\frac{1}{6}x=\frac{5}{6}\\\frac{5}{6}x=-\frac{1}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-\frac{1}{30}\end{matrix}\right.\)

a)\(\frac{5}{21}\)+\(\frac{-3}{7}\)<\(\frac{x}{21}\)<\(\frac{-2}{7}\)+\(\frac{8}{21}\)
\(\Rightarrow\)\(\frac{-4}{21}\)<\(\frac{x}{21}\)<\(\frac{2}{21}\)
\(\Rightarrow\)\(\frac{x}{21}\)\(\in\)\(\left\{\frac{-3}{21};\frac{-2}{21};\frac{-1}{21};\frac{0}{21};\frac{1}{21}\right\}\)
vậy x\(\in\)\(\left\{-3;-2;-1;0;1\right\}\)

\(a/\frac{7}{9}-\frac{x}{3}=\frac{1}{9}\)
\(\Rightarrow\frac{x}{3}=\frac{7}{9}-\frac{1}{9}\)
\(\Rightarrow\frac{x}{3}=\frac{2}{3}\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
\(b/\frac{1}{x}-\frac{-2}{15}=\frac{7}{15}\)
\(\Rightarrow\frac{1}{x}=\frac{7}{15}+\frac{-2}{15}\)
\(\Rightarrow\frac{1}{x}=\frac{1}{3}\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
\(c/\frac{-11}{14}-\frac{-4}{x}=\frac{-3}{14}\)
\(\Rightarrow\frac{-4}{x}=\frac{-11}{14}-\frac{-3}{14}\)
\(\Rightarrow\frac{-4}{x}=\frac{-4}{7}\)
\(\Rightarrow x=7\)
Vậy \(x=7\)
\(d/\frac{x}{21}-\frac{2}{3}=\frac{5}{21}\)
\(\Rightarrow\frac{x}{21}=\frac{5}{21}+\frac{2}{3}\)
\(\Rightarrow\frac{x}{21}=\frac{19}{21}\)
\(\Rightarrow x=19\)
Vậy \(x=19\)
#Mạt Mạt#

a)\(x-\frac{1}{3}=\frac{2}{3}\)
\(\Leftrightarrow x=1\)
b)\(60\%x=90\)
\(\Leftrightarrow x=150\)
c)\(\frac{2}{3}x-\frac{1}{2}=-1\)
\(\Leftrightarrow\frac{2}{3}x=-0,5\)
\(\Leftrightarrow x=-0,75\)
d)\(2\left|x\right|=4-\left(-8\right)\)
\(\Leftrightarrow2\left|x\right|=12\)
\(\Leftrightarrow\left|x\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
Bài 2 :
|-15+21|-|4-11|
=|6|-|-7|
=6-7
=-1
#H

\(\text{a) A = | -x + 8| - 21}\)
Vì | -x + 8| \(\le\) 0 ( với mọi x )
=> A = | -x + 8| - 21\(\ge\) -21
=> Amax = -21 khi | -x + 8| = 0 => -x + 8 = 0 => -x = -8 => x = 8
Vậy với Amin = -21 thì x = 8
b) \(B=\left|-x-17\right|+\left|y-36\right|+12\)
Vì \(\left\{\begin{matrix}\left|-x-17\right|\ge0\\\left|y-36\right|\ge0\end{matrix}\right.\)=> \(\left|-x-17\right|+\left|y-36\right|\ge0\)
=> \(B=\left|-x-17\right|+\left|y-36\right|+12\le12\)
=> Bmin = 12 khi \(\left|-x-17\right|+\left|y-36\right|=0\)
=> \(\left\{\begin{matrix}\left|-x-17\right|=0\\\left|y-36\right|=0\end{matrix}\right.\)=> \(\left\{\begin{matrix}-x-17=0\\y-36=0\end{matrix}\right.\)=> \(\left\{\begin{matrix}-x=17\\y=36\end{matrix}\right.\)=>\(\left\{\begin{matrix}x=-17\\y=36\end{matrix}\right.\)
Vậy Bmin = 12 khi \(\left\{\begin{matrix}x=-17\\y=36\end{matrix}\right.\)
c) \(C=-\left|2x-8\right|-35\)
Vì \(-\left|2x-8\right|\ge0\)
=> \(C=-\left|2x-8\right|-35\ge-35\)
=> Cmin = -35 khi \(-\left|2x-8\right|=0\)=> \(-2x-8=0\)=>\(-2x=8\)=> \(x=4\)
Vậy Cmin = -35 khi x = 4
d) \(D=3\left(3x-12\right)^2-37\)
Vì \(\left(3x-12\right)^2\ge0\)
=> \(3\left(3x-12\right)^2\ge0\)
=> \(D=3\left(3x-12\right)^2-37\ge-37\)
=> Dmin = -37 khi \(3\left(3x-12\right)^2=0\) => \(\left(3x-12\right)^2=0\)=> \(3x-12=0\)=> \(3x=12\)=>\(x=4\)
Vậy Dmin = -37 khi x = 4
a, A=|-x+8|-21
Vì |-x+8|>hoặc =0 với mọi x
suy ra |-x+8|-21>hoặc = -21
Dấu = xảy ra khi và chỉ khi |-x+8|=0
Khi và chỉ khi -x+8=0
Khi và chỉ khi-x=-8
khi và chỉ khi x =8
Vậy GTNN của A là -21 tại x=8

\(\left(\frac{21}{x}-2\right)^2-2\left(\frac{21}{x}-7\right)=x+42\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}+8=x+42\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}=x+42-8\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}=x+34\)
\(\Leftrightarrow\frac{441}{x^2}.x^2-\frac{126}{x}.x^2=x.x^2+34.x^2\)
\(\Leftrightarrow441-126x=x^3+34x^2\)
\(\Leftrightarrow x^3+34x^2=441-126x\)(chuyển vế)
\(\Leftrightarrow x^3+34x^4+126x-441=0\)
\(\Leftrightarrow\left(x+7\right)\left(x^2+27x-63\right)=0\)
\(\Leftrightarrow x+7=0\)
\(\Leftrightarrow x=0-7\)
\(\Leftrightarrow x=-7\)
Vì \(x^2+27-63\ne0\)
=> x = -7
\(\left(\frac{21}{x}-2\right)^2-2\left(\frac{21}{x}-2\right)=x+42\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}+8=x+42\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}=x+42-8\)
\(\Leftrightarrow\frac{441}{x^2}-\frac{126}{x}=x+34\)
\(\Leftrightarrow\frac{441}{x^2}.x^2-\frac{126}{x}.x^2=x.x^2+34.x^2\)
\(\Leftrightarrow441-126x=x^3+34x^2\)
\(\Leftrightarrow x^3+34x^2=441-126x\)(chuyển vế nhé)
\(\Leftrightarrow x^3+34x^2+126x-441=0\)
\(\Leftrightarrow\left(x+7\right)\left(x^2+27x-63\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+7=0\\x^3+27x-63\ne0\end{cases}}\Leftrightarrow x=-7\)
=> x = -7

a. (x+3)-21=-21
=> x+3=-21+21
=> x+3=0
=> x=0-3
Vậy x=-3.
b. |x|-5=7
=> |x|=7+5
=> |x|=12
=> x = 12 hoặc x=-12.
Vậy x \(\in\){-12; 12}
c. |3-x|+2=13
=> |3-x|=13-2
=> |3-x|=11
+) 3-x=11
=> x=3-11
=> x=-8
+) 3-x=-11
=> x=3-(-11)
=> x=3+11
=> x=14
Vậy x \(\in\) {-8; 14}.
a , (x+3) -21=-21 b ,|x|-5=7 c, |3-x|+2=13
x+3=0 x= -3 |x|=12 x=12 |3-x|=11
=-12 3-x=11 x= -8
3-x=-11 =14


a) \(\left(3\frac{1}{2}-2x\right).3\frac{1}{3}=7\frac{1}{3}\)
\(\left(\frac{7}{2}-2x\right).\frac{10}{3}=\frac{22}{3}\)
\(\frac{7}{2}-2x=\frac{11}{5}\)
\(2x=\frac{13}{10}\)
\(x=\frac{13}{20}\)
Vậy ...
b) \(\frac{4}{9}x=\frac{9}{8}-0,125\)
\(\frac{4}{9}x=1\)
\(x=\frac{9}{4}\)
Vậy...
21/x=-3/2
21:(-7)/x:(-7)=-3/2
-3/x:(-7)=-3/2
=>x:(-7)=2
x=2.(-7)
x=-14
\(\dfrac{21}{x}=-\dfrac{3}{2}\\ \Rightarrow x=\dfrac{2\cdot21}{-3}=-14\)
vậy x = -14