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Nguyễn Trà My
Phần a)
\(3\times\left(\frac{1}{2}-x\right)+\frac{1}{3}=\frac{7}{6}-x\)
\(32-3x+13=76-x\)
\(116-3x=76-x\)
\(116-76=3x-x\)
\(46=2x\)
\(x=46\div2\)
\(x=13\)
Bài 1 Từ \(\left|x-1\right|=2\) \(\Rightarrow\left\{{}\begin{matrix}x-1=2\\x-1=-2\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=2+1\\x=-2+1\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=3\\x=-1\end{matrix}\right.\)
Với x = 3 \(\Rightarrow A=3\cdot3^2-4\cdot3+1\)
\(A=3\cdot9-12+1\)
\(A=27-12+1=16\)
Với x = -1 \(\Rightarrow A=3\cdot\left(-1\right)^2-4\cdot\left(-1\right)+1\)
\(A=3\cdot1-\left(-4\right)+1\)
\(A=3+4+1=8\)
Bài 2
a) \(\left|x-10\right|=-x+10=10-x\)
\(\left|x-10\right|=10-x\) \(\Leftrightarrow x-10\le0\) \(\Leftrightarrow x\le10\)
b)\(\left|\dfrac{x-1}{1-x}\right|=1\)
\(\Rightarrow\left\{{}\begin{matrix}\dfrac{x-1}{1-x}=1\\\dfrac{x-1}{1-x}=-1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x-1=1-x\\x-1=-1+x\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x+x=1+1\\x-x=-1+1\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}2x=2\\0=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=2:2=1\\x\in Z\end{matrix}\right.\)
d)\(\left|x-4\right|+\left(3+3\right)=7\)
\(\left|x-4\right|+6=7\)
\(\left|x-4\right|=7-6\)
\(\left|x-4\right|=1\)
\(\Rightarrow\left\{{}\begin{matrix}x-4=1\\x-4=-1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=1+4\\x=-1+4\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=5\\x=3\end{matrix}\right.\)
a; \(x\) - \(\dfrac{3}{5}\) = 1 - \(\dfrac{4}{5}\) + \(\dfrac{1}{6}\)
\(x\) - \(\dfrac{3}{5}\) = \(\dfrac{30}{30}\) - \(\dfrac{24}{30}\) + \(\dfrac{5}{30}\)
\(x\) - \(\dfrac{3}{5}\) = \(\dfrac{6}{30}\) + \(\dfrac{5}{30}\)
\(x\) - \(\dfrac{3}{5}\) = \(\dfrac{11}{30}\)
\(x\) = \(\dfrac{11}{30}\) + \(\dfrac{3}{5}\)
\(x\) = \(\dfrac{11}{30}\) + \(\dfrac{18}{30}\)
\(x\) = \(\dfrac{29}{30}\)
Vậy \(x\) = \(\dfrac{29}{30}\)
b; (- \(\dfrac{10}{4}\)) + \(\dfrac{1}{4}\) = \(\dfrac{3}{4}\) thế \(x\) của em đâu nhỉ???
c; - \(\dfrac{3}{2}\) + (\(x\) - \(\dfrac{1}{2}\)) = \(\dfrac{1}{2}\)
\(x\) - \(\dfrac{1}{2}\) = \(\dfrac{1}{2}\) + \(\dfrac{3}{2}\)
\(x\) - \(\dfrac{1}{2}\) = 2
\(x\) = 2 + \(\dfrac{1}{2}\)
\(x\) = \(\dfrac{4}{2}\) + \(\dfrac{1}{2}\)
\(x\) = \(\dfrac{5}{2}\)
Vậy \(x=\dfrac{5}{2}\)
mình ko đáng cái j linh tinh hết đây là các bài toán mà mình ko giải đc
b. (x-7)x+1-(x-7)x+11=0
(x-7)x+1.[1-(x-7)10]=0
=> (x-7)x+1=0 hoặc 1-(x-7)10=0
• (x-7)x+1= 0 => x-7=0 => x=7
• 1-(x-7)10=0=> (x-7)10=1=>x-7=1 hoặc x-7=-1 => x=8 hoặc x=6
Vậy x thuộc {6;7;8}
a: \(\dfrac{x-6}{7}+\dfrac{x-7}{8}+\dfrac{x-8}{9}=\dfrac{x-9}{10}+\dfrac{x-10}{11}+\dfrac{x-11}{12}\)
\(\Leftrightarrow\left(\dfrac{x-6}{7}+1\right)+\left(\dfrac{x-7}{8}+1\right)+\left(\dfrac{x-8}{9}+1\right)=\left(\dfrac{x-9}{10}+1\right)+\left(\dfrac{x-10}{11}+1\right)+\left(\dfrac{x-11}{12}+1\right)\)
=>x+1=0
hay x=-1
c: |x-2|=13
=>x-2=13 hoặc x-2=-13
=>x=15 hoặc x=-11
d: \(\Leftrightarrow3\left|x-2\right|+4\left|x-2\right|=2-\dfrac{1}{3}=\dfrac{5}{3}\)
=>7|x-2|=5/3
=>|x-2|=5/21
=>x-2=5/21 hoặc x-2=-5/21
=>x=47/21 hoặc x=37/21
a: \(\Leftrightarrow4^{x-5}\cdot17=68\)
=>4^x-5=4
=>x-5=1
=>x=6
b: \(\Leftrightarrow\dfrac{1}{3}:\left|2x-1\right|=\dfrac{1}{3}+\dfrac{2}{3}=1\)
=>|2x-1|=1/3
=>2x-1=1/3 hoặc 2x-1=-1/3
=>x=2/3 hoặc x=1/3
c: =>|2x-2|=|3x+15|
=>3x+15=2x-2 hoặc 3x+15=-2x+2
=>x=-17 hoặc x=-13/5
\(A=\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)...\left(\dfrac{1}{10}-1\right)=\left(\dfrac{1-2}{2}\right)\left(\dfrac{1-3}{3}\right)...\left(\dfrac{1-10}{10}\right)=\dfrac{-1}{2}.\dfrac{-2}{3}...\dfrac{-9}{10}\)
Vì có tất cả 9 (lẻ) thừa số hạng nên A sẽ có dấu âm
\(A=\dfrac{-1}{2}.\dfrac{-2}{3}...\dfrac{-9}{10}=-\left(\dfrac{1}{2}.\dfrac{2}{3}...\dfrac{9}{10}\right)=\dfrac{-1}{10}\)
Vậy \(A=\dfrac{-1}{10}\)