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a) \(\left[\left(x+32\right)-17\right].2=42\)
\(\left[\left(x+32\right)-17\right]=42:2\)
\(\left[\left(x+32\right)-17\right]=21\)
\(\left(x+32\right)=21+17\)
\(\left(x+32\right)=38\)
\(x=38-32\)
\(x=6\)
b) \(125+\left(145-x\right)=175\)
\(\left(145-x\right)=175-125\)
\(\left(145-x\right)=50\)
\(x=145-50\)
\(x=95\)
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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.
\(125+\left(145-x\right)=175\)
\(145-x=175-125\)
\(145-x=50\)
\(x=145-50\)
\(x=95\)
a) 12 + ( 5 + x ) = 20
⇔ 5 + x = 8
⇔ x = 3
Vậy x = 3
b) 120 + ( 50 + x ) = 180
⇔ 50 + x = 60
⇔ x = 10
Vậy x = 10
c) 175 + ( 30 - x ) = 200
⇔ 30 - x = 25
⇔ x = 5
Vậy x = 5
d) 130 - ( 100 + x ) = 25
⇔ 100 + x = 105
⇔ x = 5
Vậy x = 5
e) 145 - ( 125 + x ) = 12
⇔ 125 + x = 133
⇔ x = 8
Vậy x = 8
j) 5 ( x + 12 ) + 22 = 92
⇔ 5x + 60 + 22 = 92
⇔ 5x + 82 = 92
⇔ 5x = 10
⇔ x = 2
Vậy x = 2
g) 3 ( x + 23 ) + 6 = 96
⇔ 3x + 69 + 6 = 96
⇔ 3x + 75 = 96
⇔ 3x = 21
⇔ x = 7
Vậy x = 7
Tìm x :
a) 12 + ( 5 + x ) = 20
5 + x =20 - 12
5 + x = 8
x = 3
b) 120 + ( 50 + x ) = 180
50 + x = 180-120
50 + x = 60
x = 60 - 50
x = 10
c) 175 + ( 30 - x ) = 200
30 -x = 200 - 175
30 - x = 25
x = 30-25
x=5
d) 130- ( 100 +x ) =25
100 + x =130 - 25
100+x= 105
x=105-100
x=5
e) 145 - (125+x) = 12
125+x = 145-12
125+x=133
x= 133-125
x=8
j) 5 (x+12) +22 = 92
5 ( x+12) = 92 -22
5 (x+12)=70
x+12=70 : 5
x + 12 = 14
x = 14-12
x=2
g) 2 (x+23) + 6 =96
2 (x+23) = 96 - 6
2 (x+23)= 90
x+23=90:2
x+23=45
x= 45-23
x=22
CHÚC BẠN HỌC TỐT
x + 175 và x + 125 đều là bội của x
\(\Rightarrow\) 175; 125 \(\in\) B(x)
\(\Rightarrow x\inƯC\left(175;125\right)\)
175 = 52.7
125 = 53
\(\Rightarrow\) ƯCLN(175;125) = 52 = 25
\(\Rightarrow\) x \(\in\) Ư(25) = {1;5;25}