X^2+16x-2=11 completing the square

x = -8 ± √77

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Property

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² + 16x - 2 = 11

Step 2: Solve for x

Add 2 on both sides:                    x² + 16x = 13Complete the Square:                  x² + 16x + 64 = 13 + 64Simplify:                                         (x + 8)² = 77Square root both sides;                x + 8 = ±√77Subtract 8 on both sides:             x = -8 ± √77