Answer:
x = -1
Step-by-step explanation:
[tex] x^2 + 2x + 5 = 4 [/tex]
Subtract the constant term.
[tex] x^2 + 2x = -1 [/tex]
Add half of the coefficient of the x-term to complete the square.
[tex] x^2 + 2x + 1 = -1 + 1 [/tex]
[tex] (x + 1)^2 = 0 [/tex]
[tex] x + 1 = 0 [/tex]
[tex] x = -1 [/tex]
