Question

Solve for x. (X-8)^2=-8

Answer 1

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

1. Square root both sides: x - 8 = √-8
2. Factor out negative: x - 8 = √-1 · ±√8
3. Simplify: x - 8 = ±i2√2
4. Add 8 to both sides: x = 8 ± 2i√2