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Apply the square root principle to solve (x – 2)2 + 20 = 0.
Question 17 options:

A)

x = 2 + 2i , x = 2 – 2i

B)

x = –2 + 2i , x = –2 – 2i

C)

x = –2 + 2, x = –2 – 2

D)

x = 2 + 2 , x = 2 – 2

Respuesta :

r3t40

(x-2)^2+20=0

(x-2)^2=-20

If you root both sides you will yield complex numbers (i, imaginary unit is such that i^2=-1),

x-2=20i

x=2+20i

and whenever x is a solution a complex conjugate x* is also a solution,

x*=2-20i

So the answer is A.

Hope this helps :)

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