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a) Ta có: \(x-12=\left(-9\right)-15\)
\(\Rightarrow x-12=-24\)
\(\Rightarrow x=-12\)
b) \(2-x=17-\left(-5\right)\)
\(\Rightarrow2-x=22\)
\(\Rightarrow x=2-22\)
\(\Rightarrow x=-20\)
c) \(11-\left(15+11\right)=x-\left(25-9\right)\)
\(\Rightarrow-15=x-16\)
\(\Rightarrow x=1\)
d) \(x-\left(17-x\right)=x-7\)
\(\Rightarrow x-17+x=x-7\)
\(\Rightarrow x+x-x=-7+17\)
\(\Rightarrow x=10\)
e) \(9-25=\left(7-x\right)-\left(25+7\right)\)
\(\Rightarrow9-25=7-x-25-7\)
\(\Rightarrow-16=-25-x\)
\(\Rightarrow x=-9\)
g) \(x-13=21-x\)
\(\Rightarrow x+x=21+13\)
\(\Rightarrow2x=34\)
\(\Rightarrow x=17\)
a, x - 12 = ( -9 ) - 15
x - 12 = -24
x = -24 + 12
x = -12
b, 2 - x = 17 - ( -5 )
2 - x = 22
x = 2 - 22
x = -20
c, 11 - ( 15 + 11 ) = x - ( 25 - 9 )
11 - 26 = x - 16
-15 = x - 16
x = -15 + 16
x = 1
d, x - ( 17 - x ) = x - 7
x - 17 + x = x - 7
x + x - 17 = x - 7
x + x - x = -7 + 17
x = 10
e.9 - 25 = ( 7- x ) - ( 25 + 7 )
-16 = ( 7 - x ) -32
7 - x = -32 + 16
7 - x = 16
x = 7 - 16
x= -9
g, x - 13 = 21 - x
x + x = 21 + 13
2x = 44
x = 44 : 2
x=22
\(7^6+7^5-7^4\)
\(=7^4\left(7^2+7-1\right)\)
\(=7^4\cdot55⋮55\)
\(16^5+2^5\)
\(=\left(2^4\right)^5+2^5\)
\(=2^{20}+2^5\)
\(=2^5\left(2^{15}+1\right)\)
\(=2^5\cdot32769⋮33\)
\(\left(x-3\right)\left(x-12\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x-12=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=12\end{cases}}\)
\(\Rightarrow x\in\left\{3;12\right\}\)
\(\left(x^2-81\right)\left(x^2+9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x^2-81=0\\x^2+9=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=9\\x\in\varnothing\end{cases}}\Leftrightarrow x=9\)
\(\Rightarrow x=9\)
\(\left(x-4\right)\left(x+2\right)< 0\)
\(\Rightarrow\hept{\begin{cases}x-4\\x+2\end{cases}}\)trái dấu
\(TH1:\hept{\begin{cases}x-4>0\\x+2< 0\end{cases}}\Leftrightarrow\hept{\begin{cases}x>4\\x< -2\end{cases}}\Leftrightarrow x\in\varnothing\)
\(TH2:\hept{\begin{cases}x-4< 0\\x+2>0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x< 4\\x>-2\end{cases}}\Leftrightarrow x\in\left\{-1;0;1;2;3\right\}\)
Vậy \(x\in\left\{-1;0;1;2;3\right\}\)
a) \(-65-\left(x+15\right)+105=0\)
\(-65-\left(x+15\right)=-105\)
\(x+15=-65-\left(-105\right)\)
\(x+15=40\)
\(x=25\)
b) |-6| + (-9) - (x+1) = 7
-3- (x+1) =7
x+1 = -10
x = -11
c)\(\left|5-x\right|+\left(-25+7\right)=-3-\left(-10\right)\)
\(\left|5-x\right|+\left(-18\right)=7\)
\(\left|5-x\right|=25\)
\(\Rightarrow\orbr{\begin{cases}5-x=25\\5-x=-25\end{cases}\Rightarrow\orbr{\begin{cases}x=-20\\x=30\end{cases}}}\)
d) \(28-\left|x+6\right|+\left(-2\right)=0\)
\(28-\left|x+6\right|=2\)
\(\left|x+6\right|=26\)
\(\Rightarrow\orbr{\begin{cases}x+6=26\\x+6=-26\end{cases}\Rightarrow\orbr{\begin{cases}x=20\\x=-32\end{cases}}}\)
e) \(x-\left(13-15\right)=5+\left(10-x\right)-\left(-1\right)\)
\(x+2=5+10-x+1\)
\(x+2=16-x\)
\(x+x=16-2\)
\(2x=14\)
\(x=7\)
f) \(-120-\left(x-5\right)=125\)
\(x-5=-120-125\)
\(x-5=-245\)
\(x=-240\)
g) \(10-\left(-5+2\right)+\left(-9\right)=\left(-20+7\right)-x\)
\(-16=-13-x\)
\(x=-13+16\)
\(x=3\)
a, 11 - ( 15 + 11 ) = x - ( 25 - 9 )
11-15-11=x-25+9
-15=x-16
x=1
b, 2 - x = 17 - ( - 5 )
2-x=22
x=-20
c, x - 12 = ( - 9 ) - 15
x-12=-24
x=-12
d, 9 - 25 = ( 7 - x ) - ( 25 + 7 )
(7-x)-32=-16
7-x=16
x=-9
#H
Bài giải
a, \(2x-\left(-17\right)=15\)
\(2x=15-17\)
\(2x=-2\)
\(x=-1\)
b, \(\left|x-2\right|=8\)
\(\Rightarrow\text{ }\orbr{\begin{cases}x-2=-8\\x-2=8\end{cases}}\Rightarrow\orbr{\begin{cases}x=-8+2\\x=8+2\end{cases}}\Rightarrow\orbr{\begin{cases}x=-6\\x=10\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{-6\text{ ; }10\right\}\)
c, \(\left|x+9\right|\cdot2-9=1\)
\(2\left|x+9\right|=1+9\)
\(2\left|x+9\right|=10\)
\(\left|x+9\right|=10\text{ : }2\)
\(\left|x+9\right|=5\)
\(\Rightarrow\orbr{\begin{cases}x+9=-5\\x+9=5\end{cases}}\Rightarrow\orbr{\begin{cases}x=-5-9\\x=5-9\end{cases}}\Rightarrow\orbr{\begin{cases}x=-14\\x=-4\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{-14\text{ ; }-4\right\}\)
a) x=-2
b)x=7
c)x=11 hay -11
d)không có giá trị
e)x=85
f)x=-55
g)x=0
****
\(a,|x|+|-9|=15\)
\(|x|=6\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
\(b,|+33|+|x|=|-55|\)
\(33+|x|=55\)
\(|x|=22\)
\(\Rightarrow\orbr{\begin{cases}x=22\\x=-22\end{cases}}\)
\(c,|-9|.|-x|=|-81|\)
\(9.|-x|=81\)
\(|-x|=9\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)
\(d,|x|+20=2.|-7|\)
\(|x|+20=14\)
\(|x|=-6\)
\(\Rightarrow\orbr{\begin{cases}x=-6\\x=6\end{cases}}\)
a,|x|+|-9|=15
| x | + 9 = 15
| x | = 6
Vậy \(x=\pm6\)
b,|+33|+|x|=|-55|
33 + | x | = 55
| x | = 22
vậy \(x=\pm22\)
c,|-9|.|-x|=|-81|
9. | -x| = 81
| -x| = 9
Vậy x= 9
d,|x|+20=2.|-7|
|x| + 20 = -14
| x | = -34(Vô lí)
hok tốt!!!