Use completing the square to solve the equation x^2+22x+117=0?

Question

Use completing the square to solve the equation x^2+22x+117=0?

Answer 1

x= -9 and -13

Work:

x^2+22x+117=0

x^2=22x= -117

22x/2=11, then sq 11 and it'll give u 121.

add 121 to both sides--> x^2+121= -117 +121

then simplify the  x^2+121 to (x+11)^2 and add 121 to -117

so (x+11)^2= 4--> square root both sides and you'll have

x+11= (+or -)2

then solve for x

x= -11+2--->9

x= -11-2--->-13

so x= -9 and -13