How do you solve by completing the square and express the answers in simplest radical form: #x^2+2x+4=0#?

1 Answer
Alan P.
Apr 2, 2015

If #x^2+2x# are the first 2 terms of a quadratic generated from an expression of the form #(x+a)^2#
then the the complete form of the quadratic must be
#x^2+2x+1#

Separate this part of the left side of the given equation and more the excess to the right side by subtracting it from both sides
#x^2+2x+1 = -3#

Take the square root of both sides
#x+1 = +-sqrt(3)#

Giving the results
#x = -1-sqrt(3)#
and
#x=-1+sqrt(3)#

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