Apply the square root principle to solve (x – 2)2 + 20 = 0. Question 18 options:

A)

x = 2 + 2 , x = 2 – 2

B)

x = –2 + 2, x = –2 – 2

C)

x = –2 + 2i , x = –2 – 2i

D)

x = 2 + 2i , x = 2 – 2i

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So the first thing we do is to multiply the top equation by 3. the reason i want to do this is i notice there will be a 6y on both equations and can possibly add/subtract them. so we get 6y = -3x + 27. adding that and the second equation we get 6x = 27-15 which is 12. divide by 6 and we get 2. ∴ x = 2. substituting 2 into the first equation we get 2y = -2 + 9 which is 7. divide by 2 and we get 7/2. ∴ y = 7/2, x = 2.