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

x = -4 ± √13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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

40 because it’s just a little longer than 32 feet