Quadratic Formula with complex solution question?

Question

Solve 3x^2 - 2x + 4 = 0 using the quadratic formula. I don't know why but I keep on getting the wrong answer here, even though the quadratic formula is relatively simple. The correct answer is 

x = ( 1 +- i * sqrt(11)) / 3 

I keep on getting: 

x = (1 +- 2 * sqrt 2) / 3 

Can someone show me how to solve this correctly?

Answer 1

The quadratic equation is

Compare it to quadratic form

Roots are

Correct answer is .