How do you complete the square to solve x^2 + 6x + 34 = 0?

1 Answer
Alan P.
Jun 7, 2015

x^2+6x+34 = 0
can be written as
color(white)("XXXX")x^2+6x = -34

completing the square:
color(white)("XXXX")x^2+6x+9 = -25
color(white)("XXXX")(x+3)^2 = -25
take the square root of both sides
color(white)("XXXX")x+3 = sqrt(-25)color(white)("XXXX")(Note: no Real solutions)

color(white)("XXXX")x= -3 +-5i

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