JEE Main 2024 Mathematics question

The number of distinct real roots of the equation |x||x + 2| − 5|x + 1| − 1 = 0 is .

Answer: 3

Solution

x ≥ 0: x² − 3x − 6 = 0 gives x = (3 + √33)/2. −1 ≤ x < 0: −(x + 1)(x + 6) = 0 gives x = −1.

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Question ID VK-011576