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Mathematics · 2025

JEE Main · 4 April 2025, Shift 1 · Q3

Consider the equation x^2+4 x-n=0, where n ∈[20,100] is a natural number. Then the number of all distinct values of n, for which the given equation…

Consider the equation $\displaystyle x^2+4 x-n=0$, where $\displaystyle n \in[20,100]$ is a natural number. Then the number of all distinct values of $\displaystyle n$, for which the given equation has integral roots, is equal to
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.