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min largest value of |y^2 - xy| for y in [0, 1]

Source: 1969 Swedish Mathematical Competition p4

March 21, 2021
minalgebrainequalities

Problem Statement

Define g(x)g(x) as the largest value of∣y2−xy∣ |y^2 - xy| for yy in [0,1][0, 1]. Find the minimum value of gg (for real xx).
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