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2/(11x13) = 1/11 - 1/13 ; 2/(13x15) = 1/13 - 1/15 ; 2/(15x17) = 1/15 - 1/17 ; 2/(17x19) = 1/17 - 1/19 ; 2/(19x21) = 1/19 - 1/21
2/(11x13) + 2/(13x15) + 2/(15x17) + 2/(17x19) 2/(19x21) =
1/11 - 1/13 + 1/13 - 1/15 + 1/15 - 1/17 + 1/17 - 1/19 + 1/19 - 1/21 = 1/11 - 1/21 = 101231
Hay: 10/231 x 462 - X = 19
20 - X = 19
X = 20 - 19
X = 1,đó là phần b
\(60\%x+\dfrac{2}{3}x=-76\)
\(\Leftrightarrow\dfrac{3}{5}x+\dfrac{2}{3}x=-76\)
\(\Leftrightarrow\dfrac{19}{15}x=-76\)
\(\Leftrightarrow x=\dfrac{-76}{\dfrac{19}{15}}\)
\(\Leftrightarrow x=-60\)
Bài 2:
a: =>x-1=1 hoặc x-1=-1
=>x=2 hoặc x=0
b: =>x+1=-1
hay x=-2
c: =>(135-7x):9=8
=>135-7x=72
=>7x=63
hay x=9
d: =>(x+7)(x-3)<0
=>-7<x<3
e: \(\Leftrightarrow3^{x-3}=18+9=27\)
=>x-3=3
hay x=6
f: =>4-2x=0
hay x=2
1/3x + 3/4x - 75% = -5 1/4
=> x - 3/4 = -21/4
=> x = -21/4 + 3/4
=> x = -9/2
60%x + 5/6x = -76
=> 3/5x + 5/6x = -76
=> 43/30x = -76
=> x = -76 : 43/30
=> x = -2280/43
\(\frac{1}{3}x+\frac{3}{4}x-75\%=-5\frac{1}{4}\)
\(\frac{13}{12}x-\frac{3}{4}=-\frac{21}{4}\)
\(\frac{13}{12}x=-\frac{9}{2}\)
\(x=-\frac{54}{13}\)
\(60\%.x+\frac{2}{3}x=-76\)
\(\frac{3}{5}x+\frac{2}{3}x=-76\)
\(\frac{19}{15}x=-76\)
\(x=-60\)
\(243-4x=3^9\div3^6\)
\(243-4x=3^3\)
\(243-4x=27\)
\(4x=243-27\)
\(4x=216\)
\(x=216\div4\)
\(x=54\)
\(5^x\div5^2=125\)
\(5^{x-2}=5^3\)
\(\Rightarrow x-2=3\)
\(\Leftrightarrow x=5\)
Làm theo cách này nhé :
a = 2 / 60 x 63 + 2 / 63 x 66 + 2 / 66x 69 + ...+ 2 / 117 x 120 + 2 / 2011
= 2/3 x ( 3/60 x 63 + 3 / 63 x 66 + 3 / 66 x 69 + ...+ 3/117 x 120 ) + 2/2011
= 2/3 x ( 1/60 - 1/63 + 1/63 - 1/66 + 1/66 - 1/69 + ... + 1/117 - 1/120 ) + 2/2011
= 2/3 x ( 1/60 - 1/120 ) + 2/2011
= 2/3 x 1/120 + 2/2011
= 1/180 + 2/2011
b = 5/ 40 x 44 + 5 / 44 x 48 + ...+ 5/76 x 80 + 5/ 2011
= 5/4 x ( 4/40 x 44 + 4/44 x 48 + ...+ 4/76 x 80 ) + 5/2011
= 5/4 x ( 1/40 - 1/44 + 1/44 - 1/48 + ...+ 1/76 - 1/80 ) + 5/2011
= 5/4 x ( 1/40 - 1/80 ) + 5/2011
= 5/4 x 1/80 + 5/2011
= 1/64 + 5/2011
Do 1/64 > 1/80 ; 5/2011 > 2/2011
=> 1/64 + 5/2011 > 1/80 + 2/2011
=> b > a
K nha
(3x-1)4-5=76
=> (3x-1)4=76+5
=> (3x-1)4=81
=> (3x-1)4=34
=> 3x-1=3
=> 3x=3+1
=> 3x=4
=> x=\(\frac{4}{3}\)
\(60\%\cdot x+\dfrac{2}{3}x=-76\)
=>\(\dfrac{3}{5}x+\dfrac{2}{3}x=-76\)
=>\(x\left(\dfrac{3}{5}+\dfrac{2}{3}\right)=-76\)
=>\(x\cdot\dfrac{19}{15}=-76\)
=>\(x=-76:\dfrac{19}{15}=-76\cdot\dfrac{15}{19}=-60\)