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

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

Question

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

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