tìm x thuộc Q biết rằng : 2x.(x-\(\frac{1}{7}\) ) =0
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2x(x - 1/7) = 0
<=> 2x = 0 hoặc x - 1/7 = 0
<=> x = 0 hoặc x = 1/7
a)\(\frac{11}{12}-\left(\frac{2}{5}+x\right)=\frac{2}{3}\)
<=>\(\frac{11}{12}-\frac{2}{5}-x=\frac{2}{3}\)
<=>\(-x=\frac{2}{3}-\frac{11}{12}+\frac{2}{5}\)
<=>\(-x=\frac{3}{20}\)
<=>\(x=-\frac{3}{20}\)
b)\(2x\left(x-\frac{1}{7}\right)=0\)
<=>2x=0 hoặc \(x-\frac{1}{7}=0\)
<=>x=0 hoặc x=\(\frac{1}{7}\)
c)\(\frac{3}{4}+\frac{1}{4}:x=\frac{2}{5}\)
<=>\(\frac{1}{4}:x=\frac{2}{5}-\frac{3}{4}\)
<=>\(\frac{1}{4}:x=-\frac{7}{20}\)
<=>\(x=\frac{1}{4}:\left(-\frac{7}{20}\right)\)
<=>\(x=-\frac{5}{7}\)
\(\Rightarrow\orbr{\begin{cases}2x=0\\x-\frac{1}{7}=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{7}\end{cases}}}\)
Ta có :
\(2x\left(x-\frac{1}{7}\right)=0\)
\(\Rightarrow\hept{\begin{cases}2x=0\\x-\frac{1}{7}=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=0\\x=\frac{1}{7}\end{cases}}}\)
a) \(\left(x-\frac{1}{2}\right)^2=0\)
\(x-\frac{1}{2}=0\)
\(x=0+\frac{1}{2}\)
\(x=\frac{1}{2}\)
b) \(\left(x-2\right)^2=1\)
\(\left(x-2\right)^2=1^2\)
\(x-2=1\)
\(x=1+2\)
\(x=3\)
c) \(\left(2x-1\right)^3=\left(-8\right)\)
\(\left(2x-1\right)^3=\left(-2\right)^3\)
\(2x-1=\left(-2\right)\)
\(2x=\left(-2\right)+1\)
\(2x=-1\)
\(x=-\frac{1}{2}\)
d) \(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\left(x+\frac{1}{2}\right)^2=\left(\frac{1}{4}\right)^2\)
\(x+\frac{1}{2}=\frac{1}{4}\)
\(x=\frac{1}{4}-\frac{1}{2}\)
\(x=-\frac{1}{4}\)
a) \(\left(x-\frac{1}{2}\right)^2=0\)
\(\Leftrightarrow x-\frac{1}{2}=0\)
\(\Leftrightarrow x=\frac{1}{2}\)
b) \(\left(x-2\right)^2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=1\\x-2=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}}\)
c) \(\left(2x-1\right)^2=-8\)
\(\Leftrightarrow2x-1=-2\)
\(\Leftrightarrow2x=-1\)
\(\Leftrightarrow x=-\frac{1}{2}\)
d) \(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{2}=\frac{1}{4}\\x+\frac{1}{2}=-\frac{1}{4}\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{1}{4}\\x=-\frac{3}{4}\end{cases}}}\)
\(2x\left(x-\frac{1}{7}\right)=0\)
\(\Rightarrow x=0\) (hoặc) \(x-\frac{1}{7}=0\)
\(\Rightarrow\) x = 0 hoặc x = \(\frac{1}{7}\)