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x2 + 2x + 5 = 0

x2 + 2x + 5 - 5 = 0 - 5

x2 + 2x = -5

x2 + 2x + (2/2)2 = -5 + (2/2)2

x2 + 2x + 12 = -5 + 1

(x + 1)2 = -4

sq. root of (x + 1)2 = sq. root of -4

|x + 1| = 2i

x + 1 = +&- 2i

x + 1 - 1 = -1 +&- 2i

x = -1 +&- 2i

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Q: Solve the quadratic equation by completing the square x2 plus 2x plus 5 equals 0?
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