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=23

(x+6) 2=13

(x-6) 2=-59

(x + 6) ² = 13

Step-by-step explanation:

Given

x² + 12x + 23 = 0 (subtract 23 from both sides)

x² + 12x = - 23

To complete the square

add (half the coefficient of the x - term) ² to both sides

x² + 2 (6) x + 36 = - 23 + 36

(x + 6) ² = 13

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