Question

Solve the equation 25x²+100x+200=0.

Answer 1

Answer:

$x = -2+2i ,x = -2-2i$

Step-by-step explanation:

given,

equation 25x²+100x+200=0

dividing the equation by 25 on both side

x²+4x+8=0

using

$x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x = \dfrac{-4\pm \sqrt{4^2-4\times 1\times 8}}{2}$

$x = \dfrac{-4+ \sqrt{4^2-4\times 1\times 8}}{2},x = \dfrac{-4-\sqrt{4^2-4\times 1\times 8}}{2}$

$x = \dfrac{-4+ \sqrt{-16}}{2},x = \dfrac{-4-\sqrt{-16}}{2}$

$x = \dfrac{-4+ 4i}{2},x = \dfrac{-4-4i}{2}$

$x = -2+2i ,x = -2-2i$