The number of real roots of the equation $x|x-2|+3|x-3|+1=0$ is:

[JEE Main 2025, 7 Apr (Shift 2)]

Question

The number of real roots of the equation $x|x-2|+3|x-3|+1=0$ is: [JEE Main 2025, 7 Apr (Shift 2)]

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The number of real roots of the equation \(x|x-2|+3|x-3|+1=0\) is: [JEE Main 2025, 7 Apr (Shift 2)]