5.Tìm x,y biết :
\(\dfrac{1+3y}{12}=\dfrac{1+5y}{5x}=\dfrac{1+7y}{4x}\)
1+5y5x=1+7y4x⇔{x≠04(1+5y)=5(1+7y)⇔{x≠015y=−1;y=−115
1+3y12=1+5yx⇔{x≠0x=12(1+5y)1+3y=4.5.(3+15y5+15y)=4.5.(3−15−1)=10(x;y)=(10;−115)
\(\dfrac{1+3y}{12}==\dfrac{1+5y}{5x}=\dfrac{1+7y}{4x}\)
\(\Rightarrow\dfrac{1+5y}{5x}=\dfrac{1+7y}{4x}=\dfrac{1+5y-1+7x}{\left(5x-4x\right)}=\dfrac{-2y}{x}\)
\(\Rightarrow\dfrac{\left(1+5y\right)}{5}=-2y\)
Giải ra ta có: \(y=\dfrac{-1}{15}\)
\(\Leftrightarrow x=2\)
Tính :
a) 1+2+3+...+9999
b) 1+5+9+...1001
c) 1/2 . 2/3 . 3/4 . ... . 99/100
3,7-\(\left|x-4,5\right|=0\)
\(\left(4x-3\right)\left(x-0,7\right)=0\)
Tìm tổng :
\(\dfrac{1}{1.3}+\dfrac{1}{3.5}+...+\dfrac{1}{\left(2n-1\right).\left(2n+1\right)}+...+\dfrac{1}{255.257}\)
S= 2^2 + 4^2 + 6^2 + ... + 20^2
bài 1 :
a)\(\dfrac{3}{7}\) + ( -\(\dfrac{5}{2}\) ) + ( \(\dfrac{-3}{5}\) ) b) ( -\(\dfrac{4}{3}\) ) + (-\(\dfrac{2}{5}\) ) + (- \(\dfrac{3}{2}\) )
c) \(\dfrac{4}{5}\)- ( \(\dfrac{-2}{7}\) ) - ( \(\dfrac{7}{10}\) ) d ) \(\dfrac{2}{3}\) - [(-\(\dfrac{4}{7}\) ) - ( \(\dfrac{1}{2}\) + \(\dfrac{3}{8}\) )]
bài 2 : tìm x , biêt
a) x + \(\dfrac{1}{3}\) = \(\dfrac{3}{4}\) ; b) x- \(\dfrac{2}{5}\) = \(\dfrac{5}{7}\)
c) -x - \(\dfrac{2}{3}\) = - \(\dfrac{6}{7}\) d) \(\dfrac{4}{7}\) -x = \(\dfrac{1}{3}\)
( mai nộp bài rôi ai giúp vs )
7:4.x+3:2=-2:5
(5x-1)(2x-1:3=0
tìm x, y thuộc Z
a, 3x=2y ; 5y=7z và 3x+5y-7z=60
b. \(\dfrac{x}{2}\) = \(\dfrac{y}{3}\)= \(\dfrac{z}{4}\) và x2 + y2 +z2 = 116
\(\dfrac{6}{7}\):(\(\dfrac{1}{3}\)-\(\dfrac{-5}{2}\))\(^2\)
tính (0,25)4.1024
tìm x
a/ \(\dfrac{5^x}{125}\)= 25\(^4\) b/ \(\dfrac{3^x}{3}\)+ 3\(^{x-2}\) = 4
c/ (x + \(\dfrac{2006}{2007}\))\(^6\) =0 d/ (x-\(\dfrac{1}{5}\))\(^3\)= \(\dfrac{8}{125}\)
e/ 3\(^x\) + 3\(^{x-2}\)= 810 g/ 5\(^{x+2}\) +5\(^{x+1}\) +5\(^x\) = 19375
giúp mk nha các bn mk
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