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Describing Set of Points

Source: 1992 IrMO Paper 1 Problem 1

October 2, 2017

algebra

Problem Statement

Describe in geometric terms the set of points

(x,y)

in the plane such that

x

and

y

satisfy the condition

t^2+yt+x\ge 0

for all

t

with

-1\le t\le 1

.

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