\(\left(x-3\right)\left(x-5\right)< 0\)
\(\Rightarrow\left\{{}\begin{matrix}x-3< 0\Rightarrow x< 3\\x-5>0\Rightarrow x>5\end{matrix}\right.\)
\(\Rightarrow5< x< 3\)
\(\Rightarrow x\in\left\{\varnothing\right\}\)
\(\Rightarrow\left\{{}\begin{matrix}x-3>0\Rightarrow x>3\\x-5< 0\Rightarrow x< 5\end{matrix}\right.\)
\(\Rightarrow3< x< 5\)
\(\Rightarrow x=4\)
\(2x^2-3=29\)
\(\Rightarrow2x^2=32\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x=\left\{\pm4\right\}\)
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