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4
2001 Stanford Math Tournament Team #4
2001 Stanford Math Tournament Team #4
Source:
May 24, 2014
Stanford
college
quadratics
Problem Statement
For what values of
a
a
a
does the system of equations
x
2
=
y
2
,
(
x
ā
a
)
2
+
y
2
=
1
x^2 = y^2,(x-a)^2 +y^2 = 1
x
2
=
y
2
,
(
x
ā
a
)
2
+
y
2
=
1
have exactly 2 solutions?
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