Answer:
x = ± 2i
Step-by-step explanation:
The equation has no real roots, gut has complex roots
Given
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex]
= ± [tex]\sqrt{4(-1)}[/tex]
[ Note that [tex]\sqrt{-1}[/tex] = i ]
= ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{-1}[/tex] = ± 2i
