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6
2005 Algebra #6: Points of Intersection
2005 Algebra #6: Points of Intersection
Source:
April 29, 2013
analytic geometry
Problem Statement
Find the sum of the x-coordinates of the distinct points of intersection of the plane curves given by
x
2
=
x
+
y
+
4
x^2 = x + y + 4
x
2
=
x
+
y
+
4
and
y
2
=
y
ā
15
x
+
36
y^2 = y - 15x + 36
y
2
=
y
ā
15
x
+
36
.
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