MathDB
2020 MOAA Theme Optimization TO 4

Source:

January 23, 2022
algebrateam2020

Problem Statement

Over all real numbers xx, let kk be the minimum possible value of the expression x2+9+x2−6x+45.\sqrt{x^2 + 9} +\sqrt{x^2 - 6x + 45}. Determine k2k^2.
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