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qwelly [4]
3 years ago
14

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

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

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                              

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