2. Find all solutions in positive integers x, y, z to the simultaneous
required, with complete proofs of any assertions
equations
you may make. Marks awarded will depend on the
x + y − z = 12
clarity of your mathematical presentation. Work
in rough first, and then write up your best attempt.
x
2+ y
2− z
2= 12.
Do not hand in rough work.
Bạn đang xem 2. - ĐỀ THI OLYMPIC TOÁN HỌC QUỐC TẾ BMO NĂM 2008