A Whole Diophantine?

Diophantus (who lived in Greece around 250 A.D.) liked trying to solve equations (who doesn’t, I hear you cry…) with Integer answers. It sounds like this would make the equations easier, but in fact it often makes it harder… But not here, of course.

So – here’s your chance to join the mathematical History Parade, as you try to find the (really nice, easy integers, but how d’you go about finding them?!) solutions to these three Simultaneous Equations:

1.    ab + c = 1

2.    bc + a = -1

3.    ca + b = 5

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Last modified: November 12, 2007