Complete the square to rewrite the equation in the form (x-h) 2=p.

x2+12x+23=0

What is the equation in (x-h) 2=p form?

(x+6) 2=-23

(x-6) 2=-59

(x-6) 2=23

(x+6) 2=13

The answer to your question is the last option (x + 6) ² = 13

Step-by-step explanation:

Data

x² + 12x + 23 = 0

Process

1. - Subtract 23 in both sides

x² + 12x + 23 - 23 = - 23

2. - Simplify

x² + 12x + () = - 23

3. - Complete the perfect square trinomial

x² + 12x + (6) ² = - 23 + (6) ²

4. - Factor

(x + 6) ² = - 23 + (6) ²

5. - Simplify

(x + 6) ² = - 23 + 36

6. - Result

(x + 6) ² = 13