How to solve and what method for 0=3x^2-4x+12

Question

Solve the quadratic equation 

method used and why

Answer 1

0 = 3x² - 4x + 12

 

Use the quadratic formula (because the quadratic does not factor):

 

x = (4/6) ± (1/6)√((-4)²-4*3*12)

 

x = 2/3 ± (1/6)√(-128)

 

x = (2/3) ± i(4/3)√2