MathDB
Inequality

Source: Serbia JBMO TST 2020 P3

September 5, 2020
inequalities2020JBMO TST

Problem Statement

Given are real numbers a1,a2,...,a101a_1, a_2,...,a_{101} from the interval [−2,10][-2,10] such that their sum is 00. Prove that the sum of their squares is smaller than 20202020.
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