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The number of all possible positive inte...

The number of all possible positive integral values of `alpha` for which the roots of the quadratic equation `6x^2-11x+alpha=0` are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5

Text Solution

Verified by Experts

The correct Answer is:
3
The equation is `6x^(2)-11x+alpha=0`
`D=(121)-24alpha=` perfect square.
`alpha in {3, 4, 5}`
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