[JEE Advanced 1997] The sum of all real roots of $|x-2|^2+|x-2|-2=0$ is ____
The sum of all real roots of $|x-2|^2+|x-2|-2=0$ is ____
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· 1mo ago
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Answer: $4$.
With $u=|x-2|\ge0$, $u^2+u-2=0\Rightarrow u=1$, so $x=1,3$; their sum is $4$.
JEE Advanced 1997 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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