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\(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-5}{95}=3+\frac{1}{99}+\frac{1}{98}+\frac{1}{95}\)
\(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-5}{95}=\frac{2765070}{921690}+\frac{9310}{921690}+\frac{9405}{921690}+\frac{9702}{921690}\)
\(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-5}{95}=\frac{2793487}{921690}\)
\(BCNN\left(99,98,95\right)=921690\Rightarrow x=101\)

1) \(\left(x-1\right)\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}\right)=0\)
mà \(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}\ne0\)
\(\Rightarrow x-1=0\Leftrightarrow x=1\)
2) \(\frac{x-1}{99}-1+\frac{x-2}{98}-1+\frac{x-5}{95}-1=\frac{1}{99}+\frac{1}{98}+\frac{1}{95}\)
\(\frac{x-100}{99}+\frac{x-100}{98}+\frac{x-100}{95}=\frac{1}{99}+\frac{1}{98}+\frac{1}{95}\)
\(\left(x-100\right)\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{95}\right)=\frac{1}{99}+\frac{1}{98}+\frac{1}{95}\)
x - 100 = 1
x = 101

\(-5|x-5|=-10\)
\(\Rightarrow|x-5|=(-10):(-5)\)
\(\Rightarrow|x-5|=2\)
\(\Rightarrow\orbr{\begin{cases}x-5=2\\x-5=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=5+2\\x=-2+5\end{cases}}\Rightarrow\orbr{\begin{cases}x=7\\x=3\end{cases}}\)
Vậy \(x\in\left\{3;7\right\}\)
\(|5x-7|< -18\)
Vì \(|5x-7|\ge0\forall x\)\(\Rightarrow|5x-7|\)không thể <-18

x/3=-12/8=3 chia -12/8=-2
2.5+x=4.5=4.5-2.5=2
x-(-3%)=4/5=x+3/100=4/5
=4/5-3/100=77/100 nớ cho mik nha và đừng quên kết bạn

\(2x+\frac{1}{4}=\frac{3}{2}\)
\(\Rightarrow2x=\frac{3}{2}-\frac{1}{4}=\frac{5}{4}\)
\(\Rightarrow x=\frac{5}{4}:2=\frac{5}{8}\)
\(\left(x-5\right)-\frac{1}{3}=\frac{2}{5}\)
\(\Rightarrow x-5=\frac{2}{5}+\frac{1}{3}=\frac{11}{15}\)
\(\Rightarrow x=\frac{11}{15}+5=5\frac{11}{15}\)

Ta có : 95\(⋮\)5 ; 2010\(⋮\)5
\(\Rightarrow\)x+6\(⋮\)5
\(\Rightarrow\)12<x+6\(\le\)27
\(\Rightarrow\)x+6\(\in\){15;20;25}
\(\Rightarrow\)x\(\in\){9;14;19}
Vậy x\(\in\){9;14;19}
(Sai thì xin lỗi nha)
\(x+6+95+2010=x+1+5+95+2010=x+1+100+2010=x+1+2110\)
Vì \(2110⋮5\)\(\Rightarrow\)Để \(\left(x+6+95+2010\right)⋮5\)thì \(\left(x+1\right)⋮5\)(1)
Vì \(12< x\le21\)\(\Rightarrow12< x+1\le22\)(2)
Từ (1), (2) \(\Rightarrow x+1\in\left\{15;20\right\}\)\(\Rightarrow x\in\left\{14;19\right\}\)
Vậy \(x\in\left\{14;19\right\}\)

a, \(2\left|2x-3\right|=\dfrac{1}{2}\)
\(\Rightarrow\left|2x-3\right|=\dfrac{1}{4}\)
\(\Rightarrow\left\{{}\begin{matrix}2x-3=\dfrac{1}{4}\\2x-3=-\dfrac{1}{4}\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{13}{8}\\x=\dfrac{11}{8}\end{matrix}\right.\)
b, \(7,5-3\left|5-2x\right|=-4,5\)
\(\Rightarrow3\left|5-2x\right|=12\)
\(\Rightarrow\left|5-2x\right|=4\)
\(\Rightarrow\left\{{}\begin{matrix}5-2x=4\\5-2x=-4\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{9}{2}\end{matrix}\right.\)
c, \(\left|3x-4\right|+\left|3y+5\right|=0\)
Với mọi giá trị của \(x;y\in R\) ta có:
\(\left|3x-4\right|\ge0;\left|3y+5\right|\ge0\)
\(\Rightarrow\left|3x-4\right|+\left|3y+5\right|\ge0\) với mọi giá trị của \(x;y\in R\).
Để \(\left|3x-4\right|+\left|3y+5\right|=0\) thì
\(\left\{{}\begin{matrix}\left|3x-4\right|=0\\\left|3y+5\right|=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3x-4=0\\3y+5=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}3x=4\\3y=-5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{4}{3}\\y=-\dfrac{5}{3}\end{matrix}\right.\)
Vậy.............
Chúc bạn học tốt!!!
\(\left[{}\begin{matrix}\\\end{matrix}\right.\)cái này là hoặc
\(\left\{{}\begin{matrix}\\\end{matrix}\right.\) cái này là và
\(4,5^x-5=95\)
\(4,5^x=95+5\)
\(4,5^x=100\)
4.5^x - 5 = 95
=> 4.5^x = 100
=> 5^x = 25 = 5^2
=> x = 2