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Đề đoạn cuối hình như phải là x-400/100 chứ bạn
=> (x+5/105 - 1) + (x+6/106 - 1) + (x+10/110 - 1) + (x-400/100 + 3) = 0
=> x-100/105 + x-100/106 + x-100/110 + x-100/100 = 0
=> (x-100).(1/105 + 1/106 + 1/110 + 1/100) = 0
=> x-100 = 0 ( vì 1/105 + 1/106 + 1/110 + 1/100 > 0 )
=> x = 100
Vậy x = 100
Tk mk nha
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8 ) | x + 12 | - 12 = 1
\(|x+12|=13\)
\(\Rightarrow\orbr{\begin{cases}x+12=13\\x+12=-13\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-25\end{cases}}\)
Vậy \(x\in\left\{1;-25\right\}\)
9) 135 -\(|9-x|=35\)
\(|9-x|=135-35\)
\(|9-x|=100\)
\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-91\\x=109\end{cases}}\) Vậy x\(\in\left\{-91;109\right\}\) 10) 17+x-(352-400)=-32 17+x-352+400=-32 17+x-352 =(-32) - 400 17+x-352 =-432 17+x =(-432) + 352 17+x =-80 x =(-80) - 17 x =-97 Vậy x =-97 11) 2130 - (x+136) + 72 =-64 2130 - (x+136) =(-64) -72 2130 - (x+136) =-136 (x +136) = 2130 -(-136) x+136 =2266 x =2266 - 136 x =2130 Vậy x=2130 do sap an cơm nên chiều mình sẽ giải tiếp nha! sorryy
12) (x-2) - (-8) = -137
(x-2) +8 =-137
(x-2) =(-137) - 8
x-2 =-145
Vậy x=-145
13) 10-\(|x+3|=-4.\left(-10\right)\) 10- \(|x+3|=40\) \(|x+3|=\) 40+10 \(|x+3|=50\)
\(\Rightarrow\orbr{\begin{cases}x+3=50\\x+3=-50\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=50-3\\x=\left(-50\right)-3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=20\\x=-53\end{cases}}\)
Vậy x\(\in\left\{20;-53\right\}\)
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a) x-12=-9+15
x-12=24
x=24+12
x=36
Vậy x=36
b)4x -12=400
4x=412
x=412:4
x=103
Vậy x=103
c)2x -35=15
2x=50
x=50:2
x=15
Vậy x=15
d)3x+17=2
3x=-15
x=(-15):3
x=-5
Vậy x=-5
e)\(\frac{-5}{8}=\frac{x}{16}\)
\(\Rightarrow\left(-5\right).16=8.x\)
\(\Rightarrow8x=-80\)
\(\Rightarrow x=-10\)
f)\(\frac{y}{10}=-\frac{4}{8}\)
\(\Rightarrow8y=\left(-4\right).10\)
\(\Rightarrow8y=-40\)
\(\Rightarrow y=-5\)
a) x - 12 = -9 + 15
=> x - 12 = 6
=> x = 6 + 12 = 18
b) 4x - 12 = 400
=> 4x = 400 + 12 = 412
=> x = 412 : 4 = 103
c) 2x - 35 = 15
=> 2x = 15 + 35 = 50
=> x = 50 : 2 = 25
d) 3x + 17 = 2
=> 3x = 2 - 17
=> 3x = -15
=> x = -15 : 3 = -5
e) \(\frac{-5}{8}=\frac{x}{16}\)
\(=>\frac{-10}{16}=\frac{x}{16}\)
=> x = -10
f) \(\frac{y}{10}=\frac{-4}{8}\)
\(=>\frac{y}{10}=\frac{-1}{2}\)
\(=>\frac{y}{10}=\frac{-5}{10}\)
=> y = -5
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\(|x+\frac{1}{10}|+....+|x+\frac{9}{10}|=10x\left(1\right)\)
Ta có: \(|x+\frac{1}{10}|\ge0;\forall x\)
\(|x+\frac{2}{10}|\ge0;\forall x\)
........................................
\(|x+\frac{9}{10}|\ge0;\forall x\)
\(\Rightarrow|x+\frac{1}{10}|+...+|x+\frac{9}{10}|\ge0;\forall x\)
Mà \(|x+\frac{1}{10}|+...+|x+\frac{9}{10}|=10x\)
\(\Rightarrow10x\ge0\)
\(\Rightarrow x\ge0\)
\(\Rightarrow x+\frac{1}{10}\ge0\)
.................................
\(x+\frac{9}{10}\ge0\)
\(\Rightarrow|x+\frac{1}{10}|=x+\frac{1}{10}\)
...................................................
\(|x+\frac{9}{10}|=x+\frac{9}{10}\)
Thay vào (1) ta được ;
\(9x+\frac{55}{10}=11x\)
\(\Leftrightarrow11x-9x=\frac{55}{10}\)
\(\Leftrightarrow2x=\frac{55}{10}\)
\(\Leftrightarrow x=\frac{55}{20}\)
Vậy ...
Lê Tài Bảo Châu (toán học)Dòng 9 e thấy lạ
\(x\ge0\Rightarrow x+\frac{1}{10}\ge\frac{1}{10}\)chứ. Dòng 11 tương tự
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a) 4.25-12.5+170:10
=100-60+17
=40+17
=57
b) (7+33:32).4-3
=(7+3).4-3
=10.4-3
=40-3
=37
c) 12:{400:[500-(125+25.7)]}
=12:{400:[500-(125+175)]}
=12:{400:[500-300]}
=12:{400:200}
=12:2
=6
d) 168+{[2.(24+32)-2560]:72}
=168+{[2.(16+9)-1]:49}
=168+{[2.25-1]:49}
=168+{[50-1]:49}
=168+{49:49}
=168+1
=169
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a) 400 - 5x = 200
5x = 200
x = 40
b) 250 : x + 10 = 20
250 : x = 10
x = 25
c) 96 - 3 ( x + 8 ) = 42
3 ( x + 8 ) = 54
( x + 8 ) = 54 : 3
x + 8 = 18
x = 18 - 8
x = 10
d) 36 : ( x - 5 ) = 22
36 : ( x - 5 ) = 4
x - 5 = 36 : 4
x - 5 = 9
x = 9 + 5
x = 14
e) 15 x 5 ( x - 35 ) - 525 = 0
75 ( x - 35 ) - 525 = 0
75 ( x - 35 ) = 525
x - 35 = 7
x = 7 + 35
x = 42
f) [ 3 x ( 70 - x ) + 5 ] : 2 = 46
[ 3 x ( 70 - x ) + 5 ] = 92
3 x ( 70 - x ) = 87
70 - x = 87 : 3
70 - x = 29
x = 41
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a)\(3.\left(10:x\right)=111\)
\(\Rightarrow10:x=37\)
\(x=10:37\)
\(x=\frac{10}{37}\)
b)\(3.\left(10+x\right)=111\)
\(\Rightarrow10+x=37\)
\(x=37-10\)
\(x=27\)
c)\(3+\left(10.x\right)=111\)
\(\Rightarrow10x=108\)
\(x=108:10\)
\(x=\frac{54}{5}\)
d)\(3+\left(10+x\right)=111\)
\(\Rightarrow10+x=108\)
\(x=108-10\)
\(x=98\)
=> (x+10)2=400
=> (x+10)2=202=(-20)2
+) x+10=20
=> x=20-10
=> x=10
+) x+10=-20
=> x=-20-10
=> x=-30
Vạy \(x\in\left\{-30;10\right\}\). H
( x + 10 ) * (x+ 10) = 400
x*(10+10)=400
x*20=400
x=400 : 20
x = 20