Respuesta :

Answer:

A

Step-by-step explanation:

given

16x² + 4 = 0 ( subtract 4 from both sides )

16x² = - 4 ( divide both sides by 16 )

x² = [tex]\frac{-4}{16}[/tex] = - [tex]\frac{1}{4}[/tex]

[ take the square root of both sides ]

x = ± [tex]\sqrt{-\frac{1}{4} }[/tex] = ± [tex]\frac{1}{2}[/tex] i ( [tex]\sqrt{-1}[/tex] = i )

Answer:

x = ±1/2 i

Step-by-step explanation:

16x^2 +4 = 0

Subtract 4 from each side

16x^2 +4-4 = 0-4

16x^2 = -4

Divide by 16

16x^2/16 = -4/16

x^2 = -1/4

Take the square root of each side

sqrt(x^2) = sqrt(-1/4)

sqrt(ab) sqrt(a) sqrt(b)

x = ±sqrt(1/4) sqrt(-1)

x = ±1/2 i