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<=> 1+\(\frac{1}{2014}\)+\(\frac{1}{x}\)=\(\frac{1}{x+1}\)+1+\(\frac{1}{2013}\)
<=> \(\frac{1}{2014}\)+\(\frac{1}{x}\)=\(\frac{1}{x+1}\)+\(\frac{1}{2013}\)
<=> \(\frac{1}{x}\)-\(\frac{1}{x+1}\)=\(\frac{1}{2013}\)-\(\frac{1}{2013+1}\) => x=2013
\(\frac{2015}{2014}+\frac{1}{x}=\frac{1}{x+1}+\frac{2014}{2013}\)
\(\Leftrightarrow\frac{2015}{2014}-1+\frac{1}{x}=\frac{1}{x+1}+\frac{2014}{2013}-1\)
\(\Leftrightarrow\frac{1}{2014}+\frac{1}{x}=\frac{1}{x+1}+\frac{1}{2013}\)
\(\Leftrightarrow\frac{x+2014}{2014x}=\frac{x+2014}{2013\left(x+1\right)}\)
\(\Leftrightarrow2014x=2013x+2013\)
\(\Leftrightarrow x=2013\)
a, 56 x 12 + 24 x 36 + 24 x36 = 56 x 12 + 12 x 2 x 36 + 12 x 2 x 36
= 56 x 12 + 12 x 72 + 12 x 72
= 12 x ( 56 + 72 + 72 )
= 12 x 200
= 2400
b, 2005 x 178 - 77 x 2005 - 2005 = 2005 x ( 178 - 77 - 1 )
= 2005 x 100
= 200500
**** mình nha nguyễn thùy trang
a: 2/3=12/x
=>12/x=2/3
hay x=18
b: =>x/12=2/3
hay x=8
c: =>1/x=1/4
hay x=4
d: =>x/125=2/5
nên x=50
a, \(\dfrac{12}{18}=\dfrac{12}{x}\Rightarrow x=18\)
b, \(\dfrac{24}{36}=\dfrac{3x}{36}\Rightarrow3x=24\Leftrightarrow x=8\)
c, \(\dfrac{14}{56}=\dfrac{14}{14x}\Rightarrow14x=56\Leftrightarrow x=4\)
d, \(\dfrac{x}{125}=\dfrac{50}{125}\Rightarrow x=50\)
1)
1200 : 24 - ( 17 - x ) = 36
50 - ( 17 - x ) = 36
17 - x = 50 - 36
17 - x = 14
x = 17 - 14
x = 3
9 x ( x + 5 ) = 729
x + 5 = 729 : 9
x + 5 = 81
x = 81 - 5
x = 76
1200:24-(17-x)=36 9.(x+5)=729
50 -(17-x)=36 x+5 =729:9
17-x =50-36 x+5 =81
17-x =14 x =81-5
x =17-14 x =76
x =3
a,
36 x 40 = (36 x 4) x 10 = 144 x 10 = 1 440
72 x 60 = (72 x 6) x 10 = 432 x 10 = 4 320
89 x 50 = (89 x 5) x 10 = 445 x 10 = 4 450
b,
450 x 70 = (45 x 7) x 100 = 315 x 100 = 31 500
2300 x 500 = (23 x 5) x 10 000 = 115 x 10 000 = 1 150 000
17 000 x 30 = (17 x 3) x 10 000 = 510 000
24 x ( x + 36 ) = 1080
( x + 36 ) = 1080 : 24
( x + 36 ) = 45
x = 45 - 36
x = 9
hok tốt