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

4√3x2 + 5x – 2√3 = 0

Given

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



Discriminant D = b2 – 4ac


=


= 25 + 96 = 121 > 0


Hence the roots of equation are real.



Roots are given by





Hence the roots of equation are


13