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dioplantine, x^2 + y -z = 100 and x + y^2 - z = 124 (HOMC 2006 J Q3)

Source:

July 23, 2019
number theorysystem of equationsDiophantine equation

Problem Statement

Find the number of different positive integer triples (x,y,z)(x, y,z) satisfying the equations x2+y−z=100x^2 + y -z = 100 and x+y2−z=124x + y^2 - z = 124:
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