Question #5a23f

1 Answer
Anjali G
May 2, 2017

#x=-2+-sqrt2#

Explanation:

Method 1: Complete the square / Vertex form:

#g(x)=x^2+4x+2#

#g(x)=(x+2)^2-2#

#0=(x+2)^2-2#

#2=(x+2)^2#

#+-sqrt(2)=x+2#

#x=+-sqrt2-2#

Method 2: Quadratic formula:

#x=color(blue)(frac{-b+-sqrt(b^2-4ac)}{2a})#

#x=frac{-4+-sqrt(4^2-4(1)(2))}{2(1)}#

#x=frac{-4+-sqrt(8)}{2}#

#x=frac{-4+-2sqrt2}{2}#

#x=-2+-sqrt2#

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