D
given a quadratic in standard form : ax² + bx + c = 0
To determine the nature of the roots use the discriminant : b² - 4ac
• If b² - 4ac > 0 , then two real and distinct roots
• If b² - 4ac = 0 , then real and equal root
• I f b² - 4ac < 0 , then roots are not real
here a = 3, b = 6 and c = 4
b² - 4ac = 6² - ( 4 × 3 × 4 ) = 36 - 48 = - 12
Hence 2 imaginary solutions
