#(x+4)^2+4^2=18# using the square root method?

1 Answer
Jim G.
May 8, 2018

#x=-4+-sqrt2#

Explanation:

#"isolate "(x+4)^2" by subtracting 16 from both sides"#

#rArr(x+4)^2=18-16=2#

#color(blue)"take the square root of both sides"#

#"note that "sqrtaxxsqrta=sqrt(a^2)=a#

#sqrt((x+4)^2)=+-sqrt2larrcolor(blue)"note plus or minus"#

#rArrx+4=+-sqrt2#

#"subtract 4 from both sides"#

#rArrx=-4+-sqrt2larrcolor(red)"exact solutions"#

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