Ta có:
\(\dfrac{\left(x-1\right)^2}{9}=\dfrac{3}{x-1}\)
=> (x - 1)2 . (x - 1) = 9 . 3
(x - 1)3 = 27
=> \(x=\sqrt[3]{27}+1=3+1=4\)
Vậy x = 4
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14 tháng 6 2018 lúc 10:38
Câu 1 : Tính và so sánh :
C = \(\left(1-\dfrac{2}{2.3}\right)\left(1-\dfrac{2}{3.4}\right)\left(1-\dfrac{2}{4.5}\right)...\left(1-\dfrac{2}{n\left(n+1\right)}\right)\) so sánh với \(\dfrac{2n+2}{3n}\)
- Please help me !!!
Cần giúp nhanh vsBài 1. Tìm xa) left|x+dfrac{7}{4}right|dfrac{1}{2}b) left|2x+1right|-dfrac{2}{5}dfrac{1}{3}c) 3x.left(x+dfrac{2}{3}right)0d) x+dfrac{1}{3}dfrac{2}{5}-left(-dfrac{1}{3}right)Bài 2. Tính nhanhAdfrac{1}{100}-dfrac{1}{100.99}-dfrac{1}{99.98}-dfrac{1}{98.97}-....-dfrac{1}{3.2}-dfrac{1}{2.1}
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Cần giúp nhanh vs
Bài 1. Tìm x
a) \(\left|x+\dfrac{7}{4}\right|=\dfrac{1}{2}\)
b) \(\left|2x+1\right|-\dfrac{2}{5}=\dfrac{1}{3}\)
c) \(3x.\left(x+\dfrac{2}{3}\right)=0\)
d) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\left(-\dfrac{1}{3}\right)\)
Bài 2. Tính nhanh
\(A=\dfrac{1}{100}-\dfrac{1}{100.99}-\dfrac{1}{99.98}-\dfrac{1}{98.97}-....-\dfrac{1}{3.2}-\dfrac{1}{2.1}\)
tìm x biết
1) dfrac{2}{3}+dfrac{1}{3}:xdfrac{3}{5}
2) left(dfrac{2x}{3}-3right):left(-10right)dfrac{2}{5}
3) 2dfrac{2}{3}:x2dfrac{1}{12}:left(-0,06right)
4) dfrac{3}{7}+dfrac{1}{7}:xdfrac{3}{14}
5) -dfrac{3}{5}.x-dfrac{1}{2}-dfrac{1}{7}
6) dfrac{1}{5}+2x-2dfrac{1}{4}
7)-dfrac{1}{2}:xdfrac{3}{8}:dfrac{9}{16}
8)dfrac{2}{3}:x2dfrac{1}{2}:left(-0,3right)
9) dfrac{x}{3}dfrac{-2}{1,5}
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tìm x biết
1) \(\dfrac{2}{3}+\dfrac{1}{3}:x=\dfrac{3}{5}\)
2) \(\left(\dfrac{2x}{3}-3\right):\left(-10\right)=\dfrac{2}{5}\)
3) \(2\dfrac{2}{3}:x=2\dfrac{1}{12}:\left(-0,06\right)\)
4) \(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14}\)
5) \(-\dfrac{3}{5}.x-\dfrac{1}{2}=-\dfrac{1}{7}\)
6) \(\dfrac{1}{5}+2x=-2\dfrac{1}{4}\)
7)\(-\dfrac{1}{2}:x=\dfrac{3}{8}:\dfrac{9}{16}\)
8)\(\dfrac{2}{3}:x=2\dfrac{1}{2}:\left(-0,3\right)\)
9) \(\dfrac{x}{3}=\dfrac{-2}{1,5}\)
a) \(\left[\left(\dfrac{3}{5}\right)^2-\left(\dfrac{2}{5}\right)^2\right]\). X = \(\left(\dfrac{1}{5}\right)^3\)
b) \(1\dfrac{2}{5}.x+\dfrac{3}{7}=\dfrac{-4}{5}\)
c) \(\left(3x-2\right)^2=9\)
d) \(|x+\dfrac{1}{3}|-4=-1\)
Tìm x : \(\dfrac{1}{x\left(x+1\right)}+\dfrac{1}{\left(x+1\right)\left(x+2\right)}+\dfrac{1}{\left(x+2\right)\left(x+3\right)}-\dfrac{1}{x}=\dfrac{1}{2010}\)
1.Tìm x biết rằng:
\(\sqrt{\left(\dfrac{1}{3}+x\right)^2}:\left(x+\dfrac{3}{4}\right)=\dfrac{7}{9}\)
Tìm x biết
a)left(3x+dfrac{1}{3}right)left(x-dfrac{1}{2}right)0
b)left(x-dfrac{3}{2}right)left(2x+1right)0
c)left(2-xright)left(dfrac{4}{5}-xright) 0
d)left(x-dfrac{4}{7}right):left(x+dfrac{1}{2}right)0
e)2left(x+1right)-dfrac{1}{3}.left(x-1right)dfrac{2}{3}
k)left|4x-0,2right|0,2
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Tìm x biết
a)\(\left(3x+\dfrac{1}{3}\right)\left(x-\dfrac{1}{2}\right)=0\)
b)\(\left(x-\dfrac{3}{2}\right)\left(2x+1\right)>0\)
c)\(\left(2-x\right)\left(\dfrac{4}{5}-x\right)< 0\)
d)\(\left(x-\dfrac{4}{7}\right):\left(x+\dfrac{1}{2}\right)>0\)
e)\(2\left(x+1\right)-\dfrac{1}{3}.\left(x-1\right)=\dfrac{2}{3}\)
k)\(\left|4x-0,2\right|=0,2\)
a) dfrac{2}{3}x + 0,25 -dfrac{5}{8} - left(dfrac{1}{2}-dfrac{3}{4}xright)
b) ( 9x^2 -1 ) . ( 2x + 3 ) 0
c) left|2x-dfrac{1}{3}right|-dfrac{3}{4}left|-dfrac{5}{6}right|
d) left(0,75-dfrac{5}{6}xright)^3 -dfrac{27}{64}
e) left(dfrac{2}{5}x-dfrac{1}{2}right)^2dfrac{9}{16}
f) dfrac{2x-3}{3}dfrac{3x+2}{7}
h)left(dfrac{2}{3}right)^{2x+1} left(dfrac{8}{27}right)^3
i) 2.5^{3x}+5^{3x+2}3375
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a) \(\dfrac{2}{3}\)x + 0,25 = \(-\dfrac{5}{8}\) - \(\left(\dfrac{1}{2}-\dfrac{3}{4}x\right)\)
b) ( \(9x^2\) -1 ) . ( 2x + 3 ) = 0
c) \(\left|2x-\dfrac{1}{3}\right|-\dfrac{3}{4}=\left|-\dfrac{5}{6}\right|\)
d) \(\left(0,75-\dfrac{5}{6}x\right)^3\) = \(-\dfrac{27}{64}\)
e) \(\left(\dfrac{2}{5}x-\dfrac{1}{2}\right)^2=\dfrac{9}{16}\)
f) \(\dfrac{2x-3}{3}=\dfrac{3x+2}{7}\)
h)\(\left(\dfrac{2}{3}\right)^{2x+1}\) = \(\left(\dfrac{8}{27}\right)^3\)
i) \(2.5^{3x}+5^{3x+2}=3375\)
1) Tính dfrac{7^4.3-7^3}{7^4.6-7^3.2} ; dfrac{10^3+5.10^2+5}{6^3+3.6^2+3^2} ; E1+dfrac{1}{3}+dfrac{1}{3^2}+...+dfrac{1}{3^{100}} 2) Tìm x biếtdfrac{1}{1.2}+dfrac{1}{2.3}+dfrac{1}{3.4}+...+dfrac{1}{x.left(x+1right)} ; 3^{x+1}+3^{x+3}810 MN ƠI ! GIÚP MIK VS .
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1) Tính
\(\dfrac{7^4.3-7^3}{7^4.6-7^3.2}\) ; \(\dfrac{10^3+5.10^2+5}{6^3+3.6^2+3^2}\) ; \(E=1+\dfrac{1}{3}+\dfrac{1}{3^2}+...+\dfrac{1}{3^{100}}\)
2) Tìm x biết
\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{x.\left(x+1\right)}\) ; \(3^{x+1}+3^{x+3}=810\)
MN ƠI ! GIÚP MIK VS > . <