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3

Part of 1971 Spain Mathematical Olympiad

Problems(1)

(px + qy)^2 <= px^2 + qy^2 if 0 < p, 0 < q, p +q < 1

Source: Spanish Mathematical Olympiad 1971 P3

12/5/2022
If 0<p0 < p, 0<q0 < q and p+q<1p +q < 1 prove (px+qy)2≤px2+qy2(px + qy)^2 \le px^2 + qy^2
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