JEE Main 2025 Mathematics question
Consider the equation where n ∈ [20, 100] is a natural number. Then the number of all distinct values of n, for which the given equation has integral roots, is equal to
Answer: (2)
Solution
x = -2 ± √(4+n), need 4+n to be perfect square in [24,104]. Values: 25,36,49,64,81,100 → 6 values