How do you solve #5(x+3)^2+116=361#?

1 Answer
Jul 18, 2017

Answer:

#color(blue)(x=4 or x=-10#

Explanation:

#5(x+3)^2+116=361#

#:.5(x+3)^2=245#

#:.(x+3)^2=49#

#:.x+3=sqrt49#

#:.x=-3+-sqrt49#

#:.color(blue)(x=-3+7=4#

#:.color(blue)(or x=-3-7=-10#

substitute #color(blue)(x=4#

#:.5(color(blue)(4))+3)^2+116=361#

#:.5(7^2)+116=361#

#:.5(49)+116=361#

#:.245+116=361#

#color(blue)(361=361#

substitute #color(blue)(x=-10#

#:.5(color(blue)((-10))+3)^2+116=361#

#:.5(-7)^2+116=361#

#:.5(49)+116=361#

#:.245+116=361#

#color(blue)(361=361#