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a^2 +b^2 +c^2 +d^2 \ge a(b+c+d+e)

Source: Norwegian Mathematical Olympiad 1999 - Abel Competition p1b

February 11, 2020
inequalitiesalgebra

Problem Statement

If a,b,c,d,ea,b,c,d,e are real numbers, prove the inequality a2+b2+c2+d2+e2≥a(b+c+d+e)a^2 +b^2 +c^2 +d^2+e^2 \ge a(b+c+d+e).
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