How do you solve #27( x + 11)^{2} = 900#?

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Answer 1 · 2017-03-19T02:19:17

#- 11 +- (10sqrt3)/3#

#27(x + 11)^2 = 900#
#(x + 11)^2 = 900/27#
#(x + 11) = +- 30/sqrt27 = +- 30/(3sqrt3) = +- 10/sqrt3 = +- (10sqrt3)/3#

#x = - 11 +- (10sqrt3)/3#

Answer 2 · 2017-03-19T02:35:27

#x=-11+10/(sqrt3),# #-11-10/(sqrt3)#

Solve:

#27(x+11)^2=900#

Divide both sides by #27#.

#(x+11)^2=900/27#

Simplify.

#(x+11)^2=+-100/3#

Take the square root of both sides.

#x+11=+-sqrt100/3#

Simplify.

#x+11=+-10/(sqrt3)#

Subtract #11# from both sides.

#x=-11+-10/(sqrt3)#

Solution

#x=-11+10/(sqrt3),# #-11-10/(sqrt3)#