JEE Main 2024 Mathematics question

The number of real solution of the equation x(x² + 3|x| + 5|x – 1| + 6|x – 2|) = 0 is .

Answer: 1

Solution

Either x = 0, or x² + 3|x| + 5|x − 1| + 6|x − 2| = 0. The second factor is a sum of non-negative terms that

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Question ID VK-017006