Question

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

Answer 1

Answer:

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

Step-by-step 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