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6.5 Dissecting a rectangle into Pythagorean triangles 219


Project: Factorablex^2 +px±q


Theorem 6.1.Letpandqbe relatively prime integers. The polynomials
x^2 +px±qare both factorable (over integers) if and only if|p|and
|q|are respectively the hypotenuse and area of a primitive Pythagorean
triangle.

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