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The number of all possible positive integral values of  for which the roots of the quadratic equation, 6x2−11x+ =0 are rational number is:



Question ID - 56758 | SaraNextGen Top Answer

The number of all possible positive integral values of  for which the roots of the quadratic equation, 6x2−11x+ =0 are rational number is:

1 Answer
127 votes
Answer Key / Explanation : (3) -

6x2−11x+ =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