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Consider a system of multivariate polynomial equations

$\vec{x}= f(\vec{x})$ with integer coefficients, $f$ is at most of degree 2.

Suppose $\vec{x}_1$ and $\vec{x}_2$ are two real roots of $f$, is there any bound on

$||\vec{x}_1-\vec{x}_2||$ (in terms of $\infty$-norm or $1$-norm)?

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