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2023 IOQM/Problem 13

Revision as of 03:03, 16 December 2024 by Bhontu (talk | contribs) (latexed, formatted properly)
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The ex-radii of a triangle are $10\frac{1}{2}$,$12$ and $14$. If the sides of the triangle are the roots of the cubic $x^3 - px^2 + qx - r$ , where $p$, $q$, $r$ are integers, find the integer nearest to $\sqrt{p+q+r}$

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