How do you solve -3(x+2)^2=-18?

1 Answer
Aug 1, 2016

color(green)(x=-2+-sqrt(6))

Explanation:

Given
color(white)("XXX")-3(x+2)^2=-18

Dividing both sides by (-3)
color(white)("XXX")(x+2)^2=6

Taking the roots:
color(white)("XXX")x+2=+-sqrt(6)

Subtracting 2 from both sides
color(white)("XXX")x=-2+-sqrt(6)