Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Four Intersections
Find two polynomials whose four points of intersection form a perfect square. (...with integer coefficients?)
What's the best way to do that?
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Source:
James Tanton
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Find two polynomials whose four points of intersection form a perfect square.
(...with integer coefficients?)
— James Tanton (@jamestanton) July 5, 2014
@jamestanton 13*x^3/15+13*x^2/10-137*x/30 & x^4+43*x^3/15-37*x^2/10-317*x/30 go through square with vertices (0,0), (2,3), (-1,5), (-3,2)
— Republic of Math (@republicofmath) July 5, 2014
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