Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

3x2 –2√6x + 2 = 0

Given:

Comparing with standard quadratic equation ax2 + bx + c = 0



Discriminant D = b2 – 4ac



= 24 – 24 = 0



Hence the roots of equation are real and repeated.


Roots are given by




Hence the roots of equation are


14