Respuesta :

Answer:

[tex]x + 2 = \pm2[/tex]

Step-by-step explanation:

After Theo added to both sides of:

[tex] {(x + 2)}^{2} - 9 = - 5[/tex]

He got;

[tex]{(x + 2)}^{2} = 4[/tex]

Next he took the square root of both sides to get;

[tex]x + 2 = \pm \sqrt{4} [/tex]

When Theo simplifies, he will obtain:

[tex]x + 2 = \pm2[/tex]

Therefore the second option is correct.