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`Answer:`
a. \(x+12=3\Leftrightarrow x=3-12\Leftrightarrow x=-9\)
b. \(2x-15=21\Leftrightarrow2x=21+15\Leftrightarrow2x=36\Leftrightarrow x=36:2\Leftrightarrow x=18\)
c. \(13-3x=4\Leftrightarrow-3x=4-13\Leftrightarrow-3x=-9\Leftrightarrow x=-9:-3\Leftrightarrow x=3\)
d. \(2\left(x-2\right)+4=12\Leftrightarrow2x-4+4=12\Leftrightarrow2x=12\Leftrightarrow x=12:2\Leftrightarrow x=6\)
e. \(15-3\left(x-2\right)=21\Leftrightarrow15-3x+6=21\Leftrightarrow-3x=21-15-6\Leftrightarrow-3x=0\Leftrightarrow x=0\)
g. \(25+4\left(3-x\right)=1\Leftrightarrow25+12-4x=1\Leftrightarrow37-4x=1\Leftrightarrow-4x=-36\Leftrightarrow x=9\)
h. \(3x+12=2x-4\Leftrightarrow3x-2x=-4-12\Leftrightarrow x=-16\)
i. \(14-3x=\left(-x\right)+4\Leftrightarrow-3x+x=4-14\Leftrightarrow-2x=10\Leftrightarrow x=5\)
k. \(2\left(x-2\right)+7=x-25\Leftrightarrow2x-4+7=x-25\Leftrightarrow2x-x=-25-3\Leftrightarrow x=-28\)
Bài làm
Ta có: 3/x = 21/35y = y/25 = -18/z = 1/15
=> z = -18 . 15 : 1 = -270
=> y = 25 . ( -18 ) : z = 25 . ( -18 ) : ( -270 ) = 5/3
=> x = 3 . 35y : 21 = 3 . 35 . 5/3 : 21 = 25/3
Vậy x = 25/3, y = 5/3, z = -270
\(\frac{3}{x}=\frac{21}{35y}=\frac{y}{25}=-\frac{18}{z}=\frac{1}{15}\)
Xét : \(\frac{3}{x}=\frac{1}{15}\Leftrightarrow45=x\Leftrightarrow x=45\)
Xét : \(\frac{y}{25}=\frac{1}{15}\Leftrightarrow15y=25\Leftrightarrow y=\frac{5}{3}\)
Xét : \(-\frac{18}{z}=\frac{1}{15}\Leftrightarrow-270=x\Leftrightarrow x=-270\)
a) x2 - 15 = 21
=> x2 = 21 + 15
=> x2 = 36
=> x2 = 62
=> x = 6
b) x3 = -8
=> x3 = -23
=> x = - 2
c) 25 - (x + 3)2 = 9
=> (x + 3)2 = 25 - 9
=> (x + 3)2 = 16
=> (x + 3)2 = 42
=> x + 3 = 4
=> x = 1
a)x^2-15=21
x^2 =21+15
x^2 =36
=>x^2=(-6)^2 hoặc x^2=6^2
+)x^2=(-6)^2 +)x^2=6^2
x =-6 x =6
b)x^3=-8 c)25-(x+3)^2=9
x^3=(-2)^3 (x+3)^2=25-9
x =-2 (x+3)^2=16=>(x+3)^2=4^2 hoặc (x+3)^2=(-4)^2
+)(x+3)^2=4^2 +)(x+3)^2=(-4)^2
x+3 =4 x+3 =-4
x =4-3 x =-4-3
x =1 x =-7
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
Bài 1: Tìm x, biết
a )24-(36+5)=x b)14-21=(13-x)-(15+8)
24-41=x (13-x)-23=-7
x=-17 13-x=(-7)+23
Vậy x=-17 13-x=16
x=13-16
x=-3 Vậy x=-3
Bài 2:Tìm x, biết
a)17-x=-25+(-16+9) b)3x-21=-19-(-2x)
17-x=-25+(-7) 3x-21=-19+2x
17-x=-32 3x-2x=-19+21
x=17-(-32) x=4
x=49 Vậy x=4
Vậy x=49
Bài 1:
a. 24 - (36+5) = x
=> 24 - 41 = x
=> -17 = x
=> x = -17
b. 14 - 21 = (13 - x) - (15 + 8)
=> -7 = 13 - x - 23
=> -7 - 13 + 23 = -x
=> 3 = -x
=> x = -3
Bài 2:
a. 17 - x = -25 + (-16 + 9)
=> 17 - x = -25 + (-7)
=> 17 - x = -32
=> 17 + 32 = x
=> x = 49
b. 3x - 21 = -19 - (-2x)
=> 3x - 21 = -19 + 2x
=> 3x - 2x = -19 + 21
=> x = 2
a, 17-(2+x)=3
=> x+2= 14
=> x=12
b, (6+x)+(17-21)= -25
6+x- 4= -25
=> x+2=-25
=> x= -27
c, nhận xét / x-1/>=0
=> x-1= 3
=> x=4
a) \(\left|x\right|-\frac{7}{6}=\frac{9}{15}\)
=> \(\left|x\right|=\frac{9}{15}+\frac{7}{6}=\frac{53}{30}\)
=> \(\orbr{\begin{cases}x=\frac{53}{30}\\x=-\frac{53}{30}\end{cases}}\)
b) \(\left|x-\frac{4}{3}\right|=\frac{1}{6}\)
=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{1}{6}\\x-\frac{4}{3}=-\frac{1}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{7}{6}\end{cases}}\)
c) \(\left|x-\frac{4}{3}\right|-\frac{1}{3}=\frac{1}{2}\)
=> \(\left|x-\frac{4}{3}\right|=\frac{1}{2}+\frac{1}{3}\)
=> \(\left|x-\frac{4}{3}\right|=\frac{5}{6}\)
=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{5}{6}\\x-\frac{4}{3}=-\frac{5}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{13}{6}\\x=\frac{1}{2}\end{cases}}\)
d) \(\frac{8}{3}-\left|\frac{7}{9}-x\right|=-\frac{1}{5}\)
=> \(\left|\frac{7}{9}-x\right|=\frac{43}{15}\)
=> \(\orbr{\begin{cases}\frac{7}{9}-x=\frac{43}{15}\\\frac{7}{9}-x=-\frac{43}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{94}{45}\\x=\frac{164}{45}\end{cases}}\)
e) \(\left|x-\left(\frac{1}{4}\right)^2\right|-\frac{25}{64}=0\)
=> \(\left|x-\frac{1}{16}\right|=\frac{25}{64}\)
=> \(\orbr{\begin{cases}x-\frac{1}{16}=\frac{25}{64}\\x-\frac{1}{16}=-\frac{25}{64}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{29}{64}\\x=-\frac{21}{64}\end{cases}}\)
f) \(\left(x-\frac{1}{4}\right)^2+\frac{17}{64}=\frac{21}{32}\)
=> \(\left(x-\frac{1}{4}\right)^2=\frac{25}{64}\)
=> \(\left(x-\frac{1}{4}\right)^2=\left(\frac{5}{8}\right)^2\)
=> \(\orbr{\begin{cases}x-\frac{1}{4}=\frac{5}{8}\\x-\frac{1}{4}=-\frac{5}{8}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{7}{8}\\x=-\frac{3}{8}\end{cases}}\)
\(15-3\left(x-2\right)=21\)
\(\Leftrightarrow15-3x+6=21\)
\(\Leftrightarrow21-3x=21\)
\(\Leftrightarrow-3x=0\)
\(\Leftrightarrow x=0\)
Vậy ...
\(25+4\left(3-x\right)=1\)
\(\Leftrightarrow25+12-4x=1\)
\(\Leftrightarrow37-4x=1\)
\(\Leftrightarrow4x=36\)
\(\Leftrightarrow x=9\)
Vậy ...
15-3(x-2)=21
3(x-2)=15-21
3(x-2)=-6
x-2=-6:3
x-2=-2
x=-2+2
x=0
vậy x=0
25+4(3-x)=1
4(3-x)=1-25
4(3-x)=-24
3-x=-24:6
3-x=-4
x=3-(-4)
x=7
vậy x=7