The number of all possible positive integral values of \[\alpha \] for which the roots of the quadratic equation, 6x2 - 11x + \[\alpha \] = 0 are rational numbers is :
Solutions · 1
Official solution
For rational D must be perfect square
D = 121 - 24\[\alpha \]
for 121 - 24\[\alpha \] to be perfect square a must be 3, 4, 5
So, ans \[\alpha \] = 3