A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.) 5x3 − 3x2 + 3x − 5 = 0; {1}

Question

A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)

5x³ − 3x² + 3x − 5 = 0; {1}

Answer 1

{1,-1+2i, -1-2i}

3 solutions, one real, two imaginary

divide x-1 into the cubic to get a quadratic

then use the quadratic formula to solve for the 2 imaginary solutions