Respuesta :

Answer:

(x=2i√5)(x=-2√5)

Answer:

x = ± 2i[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² + 20 = 0 ( subtract 20 from both sides )

x² = - 20 ( take the square root of both sides )

x = ± [tex]\sqrt{-20}[/tex]

  = ± [tex]\sqrt{4(5)(-1)}[/tex]

  = ± [ [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] ]

  = ± 2i[tex]\sqrt{5}[/tex]