The roots of quadratic equation 3x^{2} − 4√3x + 4 = 0 are

(A) not real

(B) real and equal

(C) rational and distinct

(D) irrational and distinct

Correct option is (B) real and equal

Explanation:

Here a = 3, b = −4√3, c = 4

Discriminant (D) = b² - 4ac

= (−4√3)² - 4.3.4

= 48 - 48

= 0

Therefore, the roots of the quadratic equation 3x^{2} − 4√3x + 4 = 0 are real and equal.