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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 x2=x+y+4x^2 = x + y + 4 and y2=yāˆ’15x+36y^2 = y - 15x + 36.