JEE Main 2024 Mathematics question

The number of real solutions of the equation x|x + 5| + 2|x + 7| − 2 = 0 is .

Answer: 3

Solution

For x ≥ −5: x² + 7x + 12 = 0 gives x = −3, −4. For −7 ≤ x < −5: x² + 3x − 12 = 0 gives x =

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Question ID VK-011667