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2016 Indonesia TST
1
Equation with Surd
Equation with Surd
Source: Indonesia TST 2016 Round 3
March 24, 2024
algebra
parametric equation
Problem Statement
Determine all real numbers
x
x
x
which satisfy
x
=
a
−
a
+
x
x = \sqrt{a - \sqrt{a+x}}
x
=
a
−
a
+
x
where
a
>
0
a > 0
a
>
0
is a parameter.
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