Answer: 1/3 ± √29/3i
Explanation:
To solve these equations, move everything to one side:
3x^2-2x+10 = 0
This cannot be factored, so use the quadratic formula:
x = -(-2) ± √( (-2)^2 - 4(3)(10)) / 2
x = (2 ± √4 - 120) / 6
x = 2 ± (√116 • i) / 6
x = 2 ± (2√29•i) / 6
x = 1/3 ± (√29/3)i