Answer:
[tex]x = -2+2i ,x = -2-2i[/tex]
Step-by-step explanation:
given,
equation 25x²+100x+200=0
dividing the equation by 25 on both side
x²+4x+8=0
using
[tex]x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x = \dfrac{-4\pm \sqrt{4^2-4\times 1\times 8}}{2}[/tex]
[tex]x = \dfrac{-4+ \sqrt{4^2-4\times 1\times 8}}{2},x = \dfrac{-4-\sqrt{4^2-4\times 1\times 8}}{2}[/tex]
[tex]x = \dfrac{-4+ \sqrt{-16}}{2},x = \dfrac{-4-\sqrt{-16}}{2}[/tex]
[tex]x = \dfrac{-4+ 4i}{2},x = \dfrac{-4-4i}{2}[/tex]
[tex]x = -2+2i ,x = -2-2i[/tex]
