MathDB
The Minumum Value

Source: 1989 National High School Mathematics League, Exam One, Problem 12

February 25, 2020

Problem Statement

s,t∈Rs,t\in\mathbb{R}, then the minumum value of (s+5−3∣cos⁡t∣)2+(s−2∣sin⁡t∣)2(s+5-3|\cos t|)^2+(s-2|\sin t|)^2 is________.
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