JEE Main 2019 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2019

The number of all possible positive integral values of α for which the roots of the quadratic equation, are rational numbers is:

Answer: (D)

Solution

121 − 24α must be a perfect square: α = 3, 4, 5.

Question ID VK-010010