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

User Etayluz
by
4.6k points

2 Answers

3 votes

Answer:

x = 8 ± 2i√2

Explanation:

User Cfx
by
5.1k points
6 votes

Answer:

x = 8 ± 2i√2

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
User Saurish Kar
by
4.9k points