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.