Question #5cc93

1 Answer
Apr 15, 2017

x=1/3

x=-2/3+-i

Explanation:

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

Use the quadratic formula

(-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