misenhemerdestiny misenhemerdestiny
  • 14-11-2020
  • Mathematics
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what number must be added to the expression below to complete the square x^2+8x-5=15

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Space
Space Space
  • 14-11-2020

Answer:

Add 16 to both sides.

General Formulas and Concepts:

Pre-Alg

  • Equality Properties

Algebra I

  • Completing the Square: b/2a

Step-by-step explanation:

Step 1: Define expression

x² + 8x - 5 = 15

Step 2: Solve

  1. Isolate x terms:                    x² + 8x = 20
  2. Complete the Square:        (x² + 8x + 16) = 20 + 16
  3. Simplify:                               (x + 4)² = 36
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