Question

What are the complex solutions to the following equation? -3x^2 + 2x - 3 = 0

Answer 1

it can also include i, for
imaginary

Answer 2

not only can it include i, it must include i.
Apply the quadratic fomrula.
x = (-b±√(b^2-4ac))/(2a)
= (-2±√(2^2 - 4*3*3))/(2(-3)) = (-2±√-32)/-6 = (1±2√2 i)/3