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0,2:\(1\frac{1}{5}=\frac{2}{3}:\left(6x+7\right)\)
\(\Leftrightarrow0,2\times\left(6x+7\right)=1\frac{1}{5}\times\frac{2}{3}\)
\(\Leftrightarrow1,2x+1,4=\frac{4}{5}\)
\(\Leftrightarrow1,2x=\frac{4}{5}-1,4\)
\(\Leftrightarrow1,2x=-0,6\)
\(\Leftrightarrow x=-0,6:1,2\)
\(\Leftrightarrow x=-\frac{1}{2}\)
Vay x=\(-\frac{1}{2}\)
Bài giải
a, \(\frac{2}{7}x+\frac{1}{2}=-\frac{3}{4}\)
\(\frac{2}{7}x=-\frac{3}{4}-\frac{1}{2}\)
\(\frac{2}{7}x=-\frac{5}{4}\)
\(x=-\frac{5}{4}\text{ : }\frac{2}{7}\)
\(x=-\frac{35}{8}\)
b, \(\left(6x+\frac{2}{5}\right)=-\frac{8}{125}\)
\(6x=-\frac{8}{125}-\frac{2}{5}\)
\(6x=-\frac{58}{125}\)
\(x=-\frac{58}{125}\text{ : }6\)
\(x=\frac{-29}{375}\)
c, \(\left|x-\frac{2}{3}\right|\cdot\left(18-6x^2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}\left|x-\frac{2}{3}\right|=0\\18-6x^2=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x-\frac{2}{3}=0\\6x^2=18\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x^2=3\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=\sqrt{3}\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{\frac{2}{3}\text{ ; }\sqrt{3}\right\}\)
x=1.67165994274725/4^(1/3) 0.0664675322233947*4^(1/3); x = -((căn bậc hai(5)*căn bậc hai(797)+63)^(2/3)*(căn bậc hai(3)*i+1)+2^(4/3)*căn bậc hai(3)*i-2^(4/3))/(3*2^(5/3)*(căn bậc hai(5)*căn bậc hai(797)+63)^(1/3));x = ((căn bậc hai(5)*căn bậc hai(797)+63)^(2/3)*(căn bậc hai(3)*i-1)+2^(4/3)*căn bậc hai(3)*i+2^(4/3))/(3*2^(5/3)*(căn bậc hai(5)*căn bậc hai(797)+63)^(1/3));
= (x2+1)3 - [(x2)3 + 13]=0
(x6+ 3.x4 +3.x2 +1) - (x6+1) =0
x6+3.x4+3.x2+1-x6-1=0
3.x4+3.x2=0
3.x2(x2+1)=0
\(\orbr{\begin{cases}3.x^2=0\\x^2+1=0\end{cases}}\orbr{ }\Rightarrow\orbr{\begin{cases}x=0\\x^2=-1\left(loai\right)\end{cases}}\)
vay x=0
\(\left(\frac{1}{2}-\frac{1}{3}\right).6x+6x+2=67+64\)
\(\frac{\Rightarrow1}{6}.6x+6x+2=131\)
\(\Rightarrow x+6x=131-2\)
\(\Rightarrow7x=129\)
\(\Rightarrow x=\frac{129}{7}\)