Question #5cc93

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Answer 1 · 2017-04-15T01:54:37

#x=1/3#

#x=-2/3+-i#

Subtract #13# from both sides

#27x^3+27x^2+27x-13=0#

This can factored

#(3x-1)(9x^2+12x+13)=0#

So,

#3x-1=0#

#3x=1#

#x=1/3#

#9x^2+12x+13=0#

#(-12+-sqrt((12)^2-4(9)(13)))/(2(9))#

#(-12+-sqrt(144-468))/18#

#(-12+-sqrt(324)i)/18#

#-12/18+-(18i)/18#

#-2/3+-i#