Câu 9:
a) Ta có: \(9x^2-16=0\)
\(\Leftrightarrow\left(3x-4\right)\left(3x+4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=-\dfrac{4}{3}\end{matrix}\right.\)
b) Ta có: \(4x^2=13\)
\(\Leftrightarrow x^2=\dfrac{13}{4}\)
\(\Leftrightarrow x\in\left\{\dfrac{\sqrt{13}}{2};-\dfrac{\sqrt{13}}{2}\right\}\)
c) Ta có: \(2x^2+9=0\)
\(\Leftrightarrow2x^2=-9\)(Vô lý)
d) Ta có: \(-x^2+324=0\)
\(\Leftrightarrow x^2=324\)
\(\Leftrightarrow\left[{}\begin{matrix}x=18\\x=-18\end{matrix}\right.\)