Asked by Mathslover
Find the sum of integers c for all triples of integers (a,b,c),a≤b≤c, that satisfy the system of equations
a^2−bc=91
b^2−ac=91
c^2−ab=91
Details and assumptions
If a number c appears in several different triples (a,b,c), it must be counted with multiplicity.
a^2−bc=91
b^2−ac=91
c^2−ab=91
Details and assumptions
If a number c appears in several different triples (a,b,c), it must be counted with multiplicity.
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