\(\left||x-2|-3\right|=4\)
giúp mk với nha các bn ! thanks nh .
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\(\left(x+\frac{1}{2}\right)\left(x-\frac{3}{4}\right)=0\)
\(\Rightarrow\hept{\begin{cases}x+\frac{1}{2}=0\\x-\frac{3}{4}=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=-\frac{1}{2}\\x=\frac{3}{4}\end{cases}}\)
(1 - \(\frac{1}{2}\) ) ( 1 - \(\frac{1}{3}\) )...( 1 - \(\frac{1}{2015}\) )
= \(\frac{1}{2}\) . \(\frac{2}{3}\).....\(\frac{2014}{2015}\)
= \(\frac{1.2.....2014}{2.3.....2015}\) = \(\frac{1}{2015}\) <1
\(\frac{3-x+x}{3-x}=\frac{5x\left(x+2\right)+2\left(x+2\right)\left(3-x\right)}{\left(x+2\right)^2\left(3-x\right)}\)
\(\frac{3}{3-x}=\frac{\left(5x+2\left(3-x\right)\right)\left(x+2\right)}{\left(x+2\right)^2\left(3-x\right)}\)
\(\frac{3}{3-x}=\frac{5x+2\left(3-x\right)}{\left(x+2\right)\left(3-x\right)}\)
\(\frac{3}{3-x}=\frac{5x}{\left(x+2\right)\left(3-x\right)}+2\)
\(\frac{3}{3-x}-2=\frac{5x}{\left(x+2\right)\left(3-x\right)}\)
\(\frac{3-2\left(3-x\right)}{\left(x+2\right)\left(3-x\right)}=\frac{5x}{\left(x+2\right)\left(3-x\right)}\)
\(3-2X\left(3-x\right)=5x\)
\(3-6+2x=5x\)
chị có thể tự giải tiếp ạ
e là hs lớp 7
cảm ơn e "dang long vu'' chị làm xong thấy cái j nó sai sai nhưng k biết sai chỗ nào nên muốn dò lại bài thôi cảm ơn e nha
ta có:A=\(\frac{-3}{2^2}.\frac{-8}{3^2}....\frac{-9999}{100^2}\)
A có 99 thừa số âm
=>A<0
\(=>-A=\frac{3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{99.101}{100.100}\)
=>\(-A=\frac{101}{100.2}=\frac{101}{200}>\frac{100}{200}=\frac{1}{2}=>-A>\frac{1}{2}=>A<-\frac{1}{2}\)
tick nhé
\(2x-\frac{5}{4}=\left(3-\frac{1}{2}\right)\left(x-\frac{1}{3}\right)\)
\(\Leftrightarrow2x-\frac{5}{4}=\frac{5}{2}\left(x-\frac{1}{3}\right)\)
\(\Leftrightarrow2x-\frac{5}{4}=\frac{5x}{2}-\frac{5}{6}\)
\(\Leftrightarrow-\frac{x}{2}-\frac{5}{12}=0\)
\(\Leftrightarrow-\frac{x}{2}=\frac{5}{12}\Rightarrow-12x=10\)
\(\Rightarrow x=-\frac{5}{6}\)
\(\hept{\begin{cases}\left(x+1\right)\left(2y+3\right)=5\\\left(x+2\right)\left(3y-1\right)=-4\end{cases}\Rightarrow x+1=\frac{5}{2y+3}\Leftrightarrow x+2=\frac{8+2y}{2y+3}}\)
\(\Leftrightarrow\left(x+2\right)\left(3y-1\right)=\left(\frac{8+2y}{2y+3}\right)\left(3y-1\right)=-4\)
\(\Leftrightarrow\left(8+2y\right)\left(3y-1\right)=-8y-12\\ \Leftrightarrow6y^2+30y+4=0\)
\(\Rightarrow\orbr{\begin{cases}y=\frac{-15+\sqrt{201}}{6}\\y=\frac{-15-\sqrt{201}}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{-83-5\sqrt{201}}{8}\\x=\frac{-83+5\sqrt{201}}{8}\end{cases}}\)
cảm ơn nha! mk bt cách làm rùi nhưng mà bạn tính x sai mất rùi! dù sao cũng camon nhìu lắm!!! ^ ^
\(\frac{1}{3}\) + \(\frac{5}{6}\): \(\left(x-2\frac{1}{5}\right)\)= \(\frac{3}{4}\)
<=> \(\frac{5}{6}\):\(\left(x-2\frac{1}{5}\right)\)= \(\frac{3}{4}\)- \(\frac{1}{3}\)
<=> \(\frac{5}{6}\) : \(\left(x-2\frac{1}{5}\right)\) = \(\frac{5}{12}\)
<=> \(\left(x-2\frac{1}{5}\right)\) = \(\frac{5}{6}\) : \(\frac{5}{12}\)
,<=> \(\left(x-2\frac{1}{5}\right)\)= 2
<=. x = 2 + \(\frac{11}{5}\)
<=> x = \(\frac{21}{5}\)
\(\left|\left|x-2\right|-3\right|=4\)
\(\Rightarrow\orbr{\begin{cases}\left|x-2\right|-3=4\\\left|x-2\right|-3=-4\end{cases}}\Rightarrow\orbr{\begin{cases}\left|x-2\right|=7\\\left|x-2\right|=-1\left(Lọai\right)\end{cases}}\Rightarrow\left|x-2\right|=7\)
\(\Rightarrow\orbr{\begin{cases}x-2=7\\x-2=-7\end{cases}}\Rightarrow\orbr{\begin{cases}x=9\\x=-5\end{cases}}\)
| |x-2| - 3 | = 4
\(\Rightarrow\) |x-2| - 3=4 hoặc |x-2| - 3 = -4
|x-2| =4 + 3 hoặc |x-2| =-4 + 3
|x-2| =7 hoặc |x-2| =-1
Từ đó :
\(\Rightarrow\) \(x-2=7\)HOẶC \(x-2=-1\)
\(x=7+2\)HOẶC \(x=-1+2\)
\(x=9\) HOẶC \(x=1\)
VẬY X=9 HOẶC X=1
THEO M NGHĨ LÀ THẾ