Respuesta :

Space

Answer:

x = 3 ± 3i√2

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Vertex Form: f(x) = a(bx - c)ⁿ + d
  • Completing the Square
  • Solving roots

Algebra II

  • Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define equation

(x - 3)² + 8 = -10

Step 2: Solve for x

  1. Subtract 8 on both sides:                    (x - 3)² = -18
  2. Square root both sides:                       x - 3 = ±√-18
  3. Factor:                                                   x - 3 = √-1 · ±√18
  4. Simplify:                                                x - 3 = ±3i√2
  5. Add 3 to both sides:                            x = 3 ± 3i√2

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