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MathsJEE Main 4 Apr 2026, Shift 1·Q2·MCQ·Moderate

Quadratic Equations · Modulus equations and inequalities

If the set of all solutions of ∣x2+x−9∣=∣x∣+∣x2−9∣\lvert x^2 + x - 9\rvert = \lvert x\rvert + \lvert x^2 - 9\rvert is [α,β]∪[γ,∞)[\alpha, \beta] \cup [\gamma, \infty), then (α2+β2+γ2)(\alpha^2 + \beta^2 + \gamma^2) is equal to:
  1. (1)9
  2. (2)18
  3. (3)36
  4. (4)72

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