Respuesta :
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]