Question

Answer 1

\(a,\Rightarrow\left(x-2000\right)\left(5x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=2000\\x=\dfrac{1}{5}\end{matrix}\right.\\ b,\Rightarrow x\left(x^2-13\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x^2=13\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\sqrt{13}\\x=-\sqrt{13}\end{matrix}\right.\\ c,\Rightarrow x^2=\dfrac{2}{25}\Rightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt{2}}{5}\\x=-\dfrac{\sqrt{2}}{5}\end{matrix}\right.\\ d,\Rightarrow\left(x-\dfrac{1}{2}\right)^2=0\Rightarrow x-\dfrac{1}{2}=0\Rightarrow x=\dfrac{1}{2}\)