\(x^2+4=13\\ \Rightarrow x^2=9\\ \Rightarrow\left[{}\begin{matrix}x=-3\\x=3\end{matrix}\right.\\ b,150-5\left(x-2\right)^2=25\\ \Rightarrow5\left(x-2\right)^2=125\\ \Rightarrow\left(x-2\right)^2=25\\ \Rightarrow\left[{}\begin{matrix}x-2=5\\x-2=-5\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=7\\x=-3\end{matrix}\right.\)