JEE Main 2026 Mathematics question
If the set of all solutions of |x² + x − 9| = |x| + |x² − 9| is [α, β] ∪ [γ, ∞), then (α² + β² + γ²) is equal to:
Answer: (B)
Solution
Writing x² + x − 9 = x + (x² − 9), equality |A + B| = |A| + |B| holds iff x(x² − 9) ≥ 0, i.e.
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