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2015 Costa Rica - Final Round
Problems
(1)
x =\sqrt{b-\sqrt{b+x}}, b>=1 OLCOMA Costa Rica 2015 SL A3 day2
Source:
9/30/2021
Knowing that
b
b
b
is a real constant such that
b
≥
1
b\ge 1
b
≥
1
, determine the sum of the real solutions of the equation
x
=
b
−
b
+
x
x =\sqrt{b-\sqrt{b+x}}
x
=
b
−
b
+
x
algebra