Question #5cc93 Precalculus Polynomial Functions of Higher Degree Zeros 1 Answer Babette 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 Answer link Related questions What is a zero of a function? How do I find the real zeros of a function? How do I find the real zeros of a function on a calculator? What do the zeros of a function represent? What are the zeros of f(x) = 5x^7 − x + 216? What are the zeros of f(x)= −4x^5 + 3? How many times does f(x)= 6x^11 - 3x^5 + 2 intersect the x-axis? What are the real zeros of f(x) = 3x^6 + 1? How do you find the roots for 4x^4-26x^3+50x^2-52x+84=0? What are the intercepts for the graphs of the equation y=(x^2-49)/(7x^4)? See all questions in Zeros Impact of this question 1661 views around the world You can reuse this answer Creative Commons License