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The real numbers $x$, $y$, $z$, satisfy $0\leq x \leq y \leq z \leq 4$. If their squares form an arithmetic progression with common difference $2$, determine the minimum possible value of $|x-y|+|y-z|$.

 Oct 14, 2019
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you should use latex and remove the $ signs, don't just copy it over from whatever website you are on

 Oct 16, 2019

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