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

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Answer 1 · 2017-07-18T16:26:49

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

#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#