Question

9. Solve by completing the square.
x² + 8x + 3 = 0

Answer 1

x = -4 ± √13

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 Properties

Algebra I

• Complete the Square

Explanation:

Step 1: Define

x² + 8x + 3 = 0

Step 2: Solve for x

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