Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
GIÚP MÌNH NHANH NHA AI NHANH NHẤT MÌNH SẼ K, MÌNH CẦN GẤP LẮM
1: =>|3x-3/2|=x-1/2+1/4=x-1/4
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{4}\\\left(3x-\dfrac{3}{2}-x+\dfrac{1}{4}\right)\left(3x-\dfrac{3}{2}+x-\dfrac{1}{4}\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=\dfrac{1}{4}\\\left(2x-\dfrac{5}{4}\right)\left(4x-\dfrac{7}{4}\right)=0\end{matrix}\right.\Leftrightarrow x\in\left\{\dfrac{5}{8};\dfrac{7}{16}\right\}\)
2: =>|1/3x+2/3|=5/3-1+x=x+2/3
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(\dfrac{1}{3}x+\dfrac{2}{3}-x-\dfrac{2}{3}\right)\left(\dfrac{1}{3}x+\dfrac{2}{3}+x+\dfrac{2}{3}\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(-\dfrac{2}{3}x\right)\cdot\left(\dfrac{4}{3}x+\dfrac{4}{3}\right)=0\end{matrix}\right.\Leftrightarrow x=0\)
\(\frac{-2}{3}\) \(-\) \(\frac{1}{3}\) X \(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(-1\) X \(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(\left(2.x-5\right)\) \(=\frac{3}{2}\) \(:-1\)
\(\left(2.x-5\right)\) \(=\frac{3}{2}\)
\(2.x\) \(=\frac{3}{2}\) \(+\) \(5\)
\(2.x\) \(=\frac{7}{2}\)
\(x=\) \(\frac{7}{2}\) \(:2\)
\(x=\frac{7}{4}\)
* Mới lớp 5 nên không chắc, sai thongcam *
#Ninh Nguyễn
\(\frac{-2}{3}-\frac{1}{3}\cdot\left(2x-5\right)=\frac{3}{2}\)
\(\frac{1}{3}\left(2x-5\right)=\frac{-2}{3}-\frac{3}{2}\)
\(2x-5=\frac{-13}{6}:\frac{1}{3}\)
\(2x=\frac{-13}{2}+5\)
\(x=\frac{-3}{2}:2\)
\(x=\frac{-3}{4}\)
a) \(x.2\frac{1}{4}=2\frac{3}{8}-\frac{3}{4}\Rightarrow x.\frac{9}{4}=\frac{19}{8}+\frac{-3}{4}\)\(\Rightarrow x.\frac{9}{4}=\frac{13}{8}\Rightarrow x=\frac{13}{8}:\frac{9}{4}\Rightarrow x=\frac{13}{18}\)
Vậy \(x=\frac{13}{18}\)
b) \(\frac{1}{3}:2.x-\frac{4}{5}=\frac{2}{3}\Rightarrow\frac{1}{3}:2.x=\frac{2}{3}+\frac{4}{5}\)\(\Rightarrow\frac{1}{3}:2.x=\frac{22}{15}\Rightarrow2.x=\frac{1}{3}:\frac{22}{15}\Rightarrow2.x=\frac{5}{22}\)\(\Rightarrow x=\frac{5}{22}.2\Rightarrow x=\frac{5}{44}\)
Vậy \(x=\frac{5}{44}\)
c) \(\frac{1}{3}x:10\frac{1}{5}=\frac{5}{3}\Rightarrow\frac{1}{3}x:\frac{51}{5}=\frac{5}{3}\)\(\Rightarrow\frac{1}{3}x=\frac{5}{3}.\frac{51}{5}\Rightarrow\frac{1}{3}x=17\Rightarrow x=17:\frac{1}{3}\Rightarrow x=51\)
Vậy \(x=51\)
d) \(5\frac{1}{7}:\left(x-\frac{1}{3}\right)=3\frac{1}{2}\Rightarrow\frac{36}{7}:\left(x-\frac{1}{3}\right)=\frac{7}{2}\)\(\Rightarrow x-\frac{1}{3}=\frac{36}{7}:\frac{7}{2}\Rightarrow x-\frac{1}{3}=\frac{72}{49}\)\(\Rightarrow x=\frac{72}{49}+\frac{1}{3}\Rightarrow x=\frac{265}{147}\)
Vậy \(x=\frac{265}{147}\)
\(1)\) Ta có :
\(\left|5x-2\right|\le0\)
Mà : \(\left|5x-2\right|\ge0\) \(\left(\forall x\inℝ\right)\)
Suy ra : \(\left|5x-2\right|=0\)
\(\Leftrightarrow\)\(5x-2=0\)
\(\Leftrightarrow\)\(5x=2\)
\(\Leftrightarrow\)\(x=\frac{2}{5}\)
Vậy \(x=\frac{2}{5}\)
Chúc bạn học tốt ~
\(2)\) Nhận xét ( nhận xét này mình lấy từ cô Huyền -_- có ghi bản quyền ròi nhá ) :
Khi hai số nguyên cùng là bội của nhau thì hoặc hai số đó bằng nhau hoặc đối nhau.
Ta có :
\(\orbr{\begin{cases}n-1=n+5\\n-1=-n-5\end{cases}\Leftrightarrow\orbr{\begin{cases}n-n=5+1\\n+n=-5+1\end{cases}}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}0=6\left(loai\right)\\2n=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}0=6\left(loai\right)\\n=\frac{-4}{2}=-2\end{cases}}}\)
Vậy \(n=-2\)
Chúc bạn học tốt ~
\(\Rightarrow\)\(\frac{2}{6}\)+ \(\frac{2}{12}\)+ \(\frac{2}{20}\)+...+\(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{2}{2.3}\)+ \(\frac{2}{3.4}\)+ \(\frac{2}{4.5}\)+...+ \(\frac{2}{x\left(x+1\right)}\)= \(\frac{2011}{2013}\)
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{4}\)+...+ \(\frac{1}{x}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{2013}\): 2
\(\Rightarrow\)\(\frac{1}{2}\)- \(\frac{1}{x+1}\)= \(\frac{2011}{4026}\)
\(\Rightarrow\)\(\frac{1}{x+1}\)= \(\frac{1}{2}\)- \(\frac{2011}{4026}\)= \(\frac{1}{2013}\)
\(\Rightarrow\)\(x+1=2013\)
cái chữ này cj nhìn khó hiểu quá nên em thông cảm nếu muốn bt đáp án thì viết rõ ra đc chứ^^
1) |3x - 3/2| - 1/4 = x - 1/2
= 3x - 3/2 - 1/4 = x - 1/2
= 3x - x = 3/2 + 1/4 - 1/2
2x = 5/4
x = 5/4 : 2
x = 5/8
2) 5/3 - |1/3x + 2/3 | = 1 - x
= 5/3 - 1/3x + 2/3 = 1-x
= -1/3x + x = -5/3 - 2/3 + 1
= 2/3x = -4/3
x = -4/3 : 2/3
x = -2