The sum, of the squares of all the roots of the equation ${x}^{2}+|2x-3|-4=0,$ is:

[JEE Main 2025, 28 Jan (Shift 1)]

Question

The sum, of the squares of all the roots of the equation ${x}^{2}+|2x-3|-4=0,$ is: [JEE Main 2025, 28 Jan (Shift 1)]

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The sum, of the squares of all the roots of the equation \({x}^{2}+|2x-3|-4=0,\) is: [JEE Main 2025, 28 Jan (Shift 1)]