How do you solve using the completing the square method x^2+ 8x + 2 = 0?
1 Answer
Apr 27, 2017
Explanation:
"to use the method of "color(blue)"completing the square" add
(1/2" coefficient of x-term")^2" to both sides"
"that is add " (8/2)^2=16" to both sides"
rArr(x^2+8xcolor(red)(+16))+2=0color(red)(+16)
rArr(x+4)^2+2=16
"subtract 2 from both sides"
(x+4)^2cancel(+2)cancel(-2)=16-2
rArr(x+4)^2=14
color(blue)"take the square root of both sides"
sqrt((x+4)^2)=+-sqrt14
rArrx+4=+-sqrt14
rArrx=-4+-sqrt14
