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mim38

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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]

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