The number of all possible positive integral value of α for which the roots of the quadratic equation 6 x 2 - 11 x + α = 0 are rational numbers is:

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For a x 2 + b x + c = 0 , we have D = b 2 - 4 a c D = 121 - 24 α For rational roots, D must be perfect square. ∴ α = 3 , 4 , 5 ∴ Number of values of α = 3

Mathematics - Quadratic Equation Question with Solution | TestHub

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