b) Ta có: \(\left(5-x\right)^3+27=0\)
\(\Leftrightarrow\left(5-x\right)^3=-27\)
\(\Leftrightarrow5-x=-3\)
hay x=8
d) Ta có: \(\left(x^2-1\right)\left(x+7\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(x+7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\\x=-7\end{matrix}\right.\)
f) Ta có: \(\left(x^2+81\right)\left(x-7\right)\left(x^2-2\right)=0\)
\(\Leftrightarrow\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=7\\x=\sqrt{2}\\x=-\sqrt{2}\end{matrix}\right.\)