The sum of the squares of the roots of $|x-2{|}^{2}+|x-2|-2=0$ and the squares of the roots of ${x}^{2}-2|x-3|-5=0$, JEE MAINS [2025]

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The sum of the squares of the roots of \(|x-2{|}^{2}+|x-2|-2=0\) and the squares of the roots of \({x}^{2}-2|x-3|-5=0\),…