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Mathematics · 2026

JEE Main · 4 April 2026, Shift 1 · Q2

If the set of all solutions of |x^2+x-9|=|x|+|x^2-9| is [α, β] ∪[γ, ∞), then ( α^2+β^2+γ^2 ) is equal to:

If the set of all solutions of $\displaystyle \left|x^2+x-9\right|=|x|+\left|x^2-9\right|$ is $\displaystyle [\alpha, \beta] \cup[\gamma, \infty)$, then ( $\displaystyle \alpha^2+\beta^2+\gamma^2$ ) is equal to:
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.