Answer:
D) [tex]x=5\pm10i[/tex]
Step-by-step explanation:
[tex]x^2-10x+125=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(1)(125)}}{2(1)}[/tex]
[tex]x=\frac{10\pm\sqrt{100-500}}{2}[/tex]
[tex]x=\frac{10\pm\sqrt{-400}}{2}[/tex]
[tex]x=\frac{10\pm20i}{2}[/tex]
[tex]x=5\pm10i[/tex]
Therefore, the correct option is D
