A Discriminant Distance

★ 7/10Substitution algebra Completing the Square inequality

Problem

Real numbers $a, b$ satisfy $a^2 \geqslant 4b$ . Find the minimum value of

(1-a)^2 + (a-b)^2 + (1-b)^2.

Answer

Solution

Difficulty	7/10
Topics	Substitution, algebra, Completing the Square, inequality

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