Respuesta :

Space

Answer:

x = -8 ± √77

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Property

Algebra I

  • Completing the Square

Step-by-step explanation:

Step 1: Define

x² + 16x - 2 = 11

Step 2: Solve for x

  1. Add 2 on both sides:                    x² + 16x = 13
  2. Complete the Square:                  x² + 16x + 64 = 13 + 64
  3. Simplify:                                         (x + 8)² = 77
  4. Square root both sides;                x + 8 = ±√77
  5. Subtract 8 on both sides:             x = -8 ± √77

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