Difference between revisions of "2023 IOQM/Problem 13"
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Latest revision as of 01:04, 27 October 2023
The ex-radii of a triangle are 10 1 2 , 12 and 14. If the sides of the triangle are the roots of the cubic x 3 − px2 + qx − r = 0 , where p, q, r are integers, find the integer nearest to √ p + q + r
