Question

Apply the square root principle to solve (x – 3)2 + 9 = 0.

a. x = 3 + 3i, 3 – 3i

b. x = 0, –6

c. x = 0, 6

d. x = –3 + 3i, –3 – 3i

Answer 1

a. x = 3 + 3i, 3 – 3i

Explanation:

Answer 2

Explanation:

First, let's simplify the equation:

(x – 3)² + 9 = 0

(x – 3)² = -9

Now we can apply the square root principle:

x – 3 = ±√(-9)

x – 3 = ±3i

Solving for x:

x = 3 ± 3i

Therefore, the answer is (a) x = 3 + 3i, 3 – 3i.