Answer:
x = 8 ± 2i√2
Step-by-step explanation:
√-1 is imaginary number i
Step 1: Write equation
(x - 8)² = -8
Step 2: Solve for x
- Square root both sides: x - 8 = √-8
- Factor out negative: x - 8 = √-1 · ±√8
- Simplify: x - 8 = ±i2√2
- Add 8 to both sides: x = 8 ± 2i√2
