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  "body": "\n## Definition\n\nLet $a \\in \\R$.\nThe *Bring radical* of $a$, written $\\operatorname{BR}(a)$, is the unique real [[root|00EHX6FWC0]] of the polynomial $x^5 + x + a$.\n\n## Remarks\n\nThe definition makes sense: $g(x) = x^5 + x + a$ is strictly increasing on $\\R$, since $g'(x) = 5x^4 + 1 \u003e 0$, and it tends to $\\pm\\infty$ as $x \\to \\pm\\infty$, so it has exactly one real root.\nExample: $\\operatorname{BR}(-2) = 1$, since $1^5 + 1 - 2 = 0$; and $\\operatorname{BR}(0) = 0$.\nNon-example: for the polynomial $x^5 - x + a$, the derivative $5x^4 - 1$ changes sign, and for $a = 0$ there are three real roots $-1, 0, 1$, so no \"unique real root\" is defined in the same way.\nThe function $\\operatorname{BR}$ is odd, continuous and strictly decreasing on $\\R$.\n",
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