Respuesta:
[tex]200x^{2} -16=0\\200x^{2} =16\\x^{2}=\frac{16}{200} \\\\x^{2}=\frac{2}{25} \\[/tex]
[tex]x=\sqrt[]{\frac{2}{25} } \\x=\frac{\sqrt[]{2} }{\sqrt[]{25} }[/tex]
[tex]x=\frac{\sqrt[]{2} }{5} \\\\x1=\frac{\sqrt[]{2} }{5}\\x2= - \frac{\sqrt[]{2} }{5}\\[/tex]