The number of all possible positive integral values of for which the roots of the quadratic equation, 6x^{2}−11x+ =0 are rational number is:

The number of all possible positive integral values of for which the roots of the quadratic equation, 6x^{2}−11x+ =0 are rational number is:

1 Answer

127 votes

6x^{2}−11x+ =0

Given roots are rational

D must be perfect square

121−24 = ^{2}

maximum value of is 5

= 1 I

= 2 I

= 3 I

3 integral values

= 4 I

= 5 I

127 votes

127