Asap 25 pts + brainliest to right/best answer

A

Step-by-step explanation:

given

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

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

x² = = -

[ take the square root of both sides ]

x = ± = ± i ( = i )

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

idk

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take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: