mellobryson22 mellobryson22

07-12-2020
Mathematics

contestada

Select all the solutions to (x - 2)2 = -16.
a
x = 6
b
X = -2
с
x = -6
d
x = 2 + 4i
e
X = 2 + 2i
f
x = 2 - 2
bin
X = 2 - 4

Select all the solutions to x 22 16 a x 6 b X 2 с x 6 d x 2 4i e X 2 2i f x 2 2 bin X 2 4 class=

Respuesta :

jimrgrant1 jimrgrant1

07-12-2020

Answer:

d and g

Step-by-step explanation:

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-16}[/tex] = ± [tex]\sqrt{16(-1)}[/tex] = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)

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