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2.2
2021 Alg/NT Div 2 P2
2021 Alg/NT Div 2 P2
Source:
March 2, 2021
algebra
Problem Statement
Suppose
a
,
b
a,b
a
,
b
are positive real numbers such that
a
+
a
2
=
1
a+a^2 = 1
a
+
a
2
=
1
and
b
2
+
b
4
=
1
b^2+b^4=1
b
2
+
b
4
=
1
. Compute
a
2
+
b
2
a^2+b^2
a
2
+
b
2
.Proposed by Thomas Lam
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