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1987 Greece National Olympiad
3
\sqrt{a+x}+ \sqrt{a-x}>a
\sqrt{a+x}+ \sqrt{a-x}>a
Source: 1987 Greece MO Grade XI p3
September 6, 2024
parameterization
inequalities
algebra
Problem Statement
Solve for real values of parameter
a
a
a
, the inequality :
a
+
x
+
a
−
x
>
a
,
x
∈
R
\sqrt{a+x}+ \sqrt{a-x}>a , \ \ x\in\mathbb{R}
a
+
x
+
a
−
x
>
a
,
x
∈
R
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