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9 - 25 = ( - 7 - x ) - ( 25 - 7 )
9 - 25 = - 7 - x - 25 + 7
9 - 25 = - x - 25
- 14 = - x - 25
=> x thuộc rỗng
11 + ( 15 - 11 ) = - 4 . x - ( 25 - 10 )
11 + 15 - 11 = - 4 . x - 25 + 10
15 = - 4 . x - 15
=> = - 4 . x
17 - { - x - ( - x ) } = - 1
17 + x + x = - 1
17 + 2x = - 1
2x = - 1 - 17
2x = - 18
x = - 18 : 2
x = - 9
=> - x = 9
x + { ( x + 3 ) - [ ( x + 3 ) - ( - x - 2 )]} = x
x + { x + 3 - [ x + 3 + x + 2 ]} = x
x + x + 3 - x - 3 - x - 2 = x
x - x - 2 = 2
x - 2 = 2 - x
=> x = 0
a) 50 : (x - 7) + 12 = 17
50 : (x - 7) = 17 - 12
50 : (x - 7) = 5
(x - 7) = 50 : 5
(x - 7) = 10
x = 10 + 7
\(\Rightarrow\) x = 17
b) 96 - 3 (x + 1) =42
3 (x + 1) = 96 - 42
3 (x + 1) = 54
(x + 1) = 54 : 3
(x + 1) = 18
x = 18 - 1
\(\Rightarrow\) x = 17
c) 63 : (x - 31) + 100 = 107
63 : (x - 31) = 107 - 100
63 : (x - 31) = 7
x - 31 = 63 : 7
x - 31 = 9
x = 9 + 31
\(\Rightarrow\) x = 40
CHÚC BẠN HOK TỐT
\(\left(3x-4\right)\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-4=0\\x-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x-4=0\Rightarrow3x=4\Rightarrow x=\frac{4}{3}\\x-1=0\Rightarrow x=1\end{cases}}\)
Vậy x bằng \(\frac{4}{3}\) và x = 1
\(\left(3x-4\right)\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=1\end{cases}}\)
1.
a.
\(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=1-\frac{1}{6}=\frac{5}{6}\)
b.
Tích có 100 thừa số
=> n = 100
\(\left(100-1\right)\times\left(100-2\right)\times\left(100-3\right)\times...\times\left(100-99\right)\times\left(100-100\right)\)
\(=\left(100-1\right)\times\left(100-2\right)\times\left(100-3\right)\times...\times\left(100-99\right)\times0\)
\(=0\)
2.
a.
\(135\times789789-789\times135135=1001\times\left(135\times789-789\times135\right)=1001\times0=0\)
b.
\(\left(28\times9696-96\times2828\right)\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=\left[101\times\left(28\times96-96\times28\right)\right]\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=\left(101\times0\right)\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=0\div\left(1\times2\times3\times...\times2015\times2016\right)\)
\(=0\)
3.
a.
\(\left[\left(x+32\right)-17\right]\times2=42\)
\(\left(x+32\right)-17=\frac{42}{2}\)
\(\left(x+32\right)-17=21\)
\(x+32=21+17\)
\(x+32=38\)
\(x=38-32\)
\(x=6\)
b.
\(125+\left(145-x\right)=175\)
\(145-x=175-125\)
\(145-x=50\)
\(x=145-50\)
\(x=95\)
( ( x . 32 ) - 17 ) . 2 = 42
( ( x . 32 ) - 17 ) = 42 : 2
( ( x . 32 ) - 17 ) = 21
x . 32 = 21 + 17
x . 32 = 38
x = 38 : 32
x = 19/16
a, => 3x-17 = 0 hoặc 3x-17 = 1
=> x=17/3 hoặc x=6
b, => x+1+x+2+....+x+100=205550
=>100x + (1+2+...+100)=205550
=> 100x + 5050 = 205550
=> 100x = 205550 - 5050 = 200500
=>x= 2005
c,=>x+x+1+....+x+2010=2029099
=>2011x+(1+2+....+2010)=2029099
=>2011x+2021055=2029099
=>2011x = 2029099-2021055 = 8044
=>x=4
Có : 3Q = 3+3^2+....+3^101
2Q=3Q-Q= (3+3^2+....+3^101)-(1+3+3^2+...+3^100) = 3^101-1
=>Q = (3^101-1)/2