Question
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.
Answers
From brilliant
Related Questions
Find the number of triples of integers a<b<c with a≥−10, such that a(b−c)^3+b(c−a)^3+c(a−b)^3=0
How many ordered triples (a, b, c) of positive integers are there which satisfy the equation a + b +...
Choose the pair of events that is mutually exclusive.
odd integers and multiples of 4
prim...
Find the number of ordered triples (a,b,c) of positive integers that satisfy
a = \gcd(b,c) + 33
b...