Lời giải:
a.
\((x-\frac{1}{2})^2=\frac{3}{2}\Rightarrow \left[\begin{matrix} x-\frac{1}{2}=\sqrt{\frac{3}{2}}\\ x-\frac{1}{2}=-\sqrt{\frac{3}{2}}\end{matrix}\right.\)
\(\Leftrightarrow \left[\begin{matrix} x=\frac{1}{2}+\sqrt{\frac{3}{2}}\\ x=\frac{1}{2}-\sqrt{\frac{3}{2}}\end{matrix}\right.\)
b.
\((x-\frac{2}{3})^3=\frac{64}{9}=(\frac{4}{\sqrt[3]{9}})^3\)
\(\Leftrightarrow x-\frac{2}{3}=\frac{4}{\sqrt[3]{9}}\Leftrightarrow x=\frac{2}{3}+\frac{4}{\sqrt[3]{9}}\)
c.
\(2^x+2^{x+2}=40\)
\(\Leftrightarrow 2^x(1+2^2)=40\Leftrightarrow 2^x.5=40\Leftrightarrow 2^x=8=2^3\)
$\Leftrightarrow x=3$
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