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a)
3 . ( 10 . x ) = 111
3 . 10 . x = 111
30 . x = 111
x = \(\frac{37}{10}\)
b) 3 + ( 10 . x ) = 111
10 . x = 111 - 3
10 . x = 108
x = 108 : 10
x = 10.8
3. ( 10.x ) = 111
10.x = 111 : 3
10.x = 37
x = 37 : 10
x = 3,7
______________________
3 + ( 10.x ) = 111
10.x = 111 - 3
10.x = 108
x = 108 : 10
x = 10,8
3 + (10 + x ) = 111
10 + x = 111- 3
10 + x = 108
x = 108 – 10
x = 98
3.(10 + x) = 111
10+ x = 111: 3
10 + x = 37
x = 37 – 10
x = 27
a) \(3.\left(10.x\right)=111\)
\(10.x=37\)
\(x=\dfrac{37}{10}\)
b) \(3.\left(10+x\right)=111\)
\(10+x=37\)
\(x=27\)
c) \(3+\left(10.x\right)=111\)
\(10.x=108\)
\(x=\dfrac{54}{5}\)
d) \(3+\left(10+x\right)=111\)
\(x=111-3-10\)
\(x=98\)
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)\(3+\left(10+x\right)=111\)
\(\Rightarrow10+x=108\)
\(x=108-10\)
\(x=98\)
(*) <=> 1\6 + 1\12 +.. + 1\x.(x+1) = 2009\(2011.2)
ma
1\2.3 =1\2-1\3
1\3.4=1\3-1\4
...............
1\x(x+1)= 1\x-1\(x+1)
cong tung ve ta dc
Vt= 1\2- 1\(x+1) =2009\(2.2011)
<=> 2011\(2.2011) -2009\(2.2011) =1\(x+1)
<=> 1\2011 =1\(x+1)
=> x=2010
1/3 + 1/6 + 1/10 + ... + 2/x(x+1) = 1999/2001
nhân 1/2 vào 2 vế ta được vế trái là :
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{x\left(x+1\right)}=\frac{1}{2}.\frac{1999}{2001}\)
\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{1}{2}.\frac{1999}{2001}\)
\(\frac{1}{2}-\frac{1}{x+1}=\frac{1}{2}.\frac{1999}{2001}\)
\(\frac{x-1}{2.\left(x+1\right)}=\frac{1}{2}.\frac{1999}{2001}\)
\(\frac{x-1}{\left(x+1\right)}=\frac{1999}{2001}\)
suy ra : 2001x - 2001 = 1999x + 1999
2x = 1999 + 2001 = 4000
=> x = 2000
3 + (10.x) = 111
10.x = 111- 3
10.x = 108
x = 108:10
x = 10,8