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1
2010 Algebra #1: System of Positive Reals
2010 Algebra #1: System of Positive Reals
Source:
July 15, 2012
Problem Statement
Suppose that
x
x
x
and
y
y
y
are positive reals such that
x
ā
y
2
=
3
,
x
2
+
y
4
=
13.
x-y^2=3, \qquad x^2+y^4=13.
x
ā
y
2
=
3
,
x
2
+
y
4
=
13.
Find
x
x
x
.
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