Question

What number must be added to the expression below to complete the square x^2+8x-5=15

Answer 1

Add 16 to both sides.

General Formulas and Concepts:

Pre-Alg

• Equality Properties

Algebra I

• Completing the Square: b/2a

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