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x =\sqrt{b-\sqrt{b+x}}, b>=1 OLCOMA Costa Rica 2015 SL A3 day2

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September 30, 2021
algebra

Problem Statement

Knowing that b b is a real constant such that b≥1b\ge 1, determine the sum of the real solutions of the equation x=b−b+xx =\sqrt{b-\sqrt{b+x}}
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