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a,\(\left(0,5x-\dfrac{3}{7}\right):\dfrac{1}{2}=1\dfrac{1}{7}\)
\(0,5x-\dfrac{3}{7}=\dfrac{4}{7}\)
\(0,5x=1\)
\(x=2\)
b,Đề chưa rõ,bạn viết lại nhé!
c,\(\left(\dfrac{1}{5}-\dfrac{3}{2}x\right)^2=\dfrac{9}{4}\)
\(\dfrac{1}{5}-\dfrac{3}{2}x=\dfrac{3}{2}\)
\(\dfrac{3}{2}x=-\dfrac{13}{10}\)
\(x=-\dfrac{13}{15}\)
\(\left(\dfrac{2}{5}-3x\right)^2-\dfrac{1}{5}=\dfrac{4}{25}\)
\(\Rightarrow\left(\dfrac{2}{5}-3x\right)^2=\dfrac{4}{25}+\dfrac{1}{5}=\dfrac{9}{25}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{2}{5}-3x=\dfrac{3}{5}\\\dfrac{2}{5}-3x=-\dfrac{3}{5}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}3x=-\dfrac{1}{5}\\3x=1\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{15}\\x=\dfrac{1}{3}\end{matrix}\right.\)
\(\left(\dfrac{9}{4}\right)^{x-6}=\left(\dfrac{27}{8}\right)^{x-2}\)
\(\Leftrightarrow\left[\left(\dfrac{3}{2}\right)^2\right]^{x-6}=\left[\left(\dfrac{3}{2}\right)^3\right]^{x-2}\)
\(\Leftrightarrow\left(\dfrac{3}{2}\right)^{2x-12}=\left(\dfrac{3}{2}\right)^{3x-6}\)
\(\Leftrightarrow2x-12=3x-6\)
\(\Leftrightarrow-12+6=3x-2x\)
\(\Leftrightarrow x=-6\)
Vậy ............
P/S : Lần sau gỗ bằng công thức toán nhs bn :)