Still more Diophantine equations
How many real solutions are there to the following system of equations?
The answer is 8.
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1 solution
Add all the equations to get
a + b + c = 0 OR . a + b + c = 1
Put c = − a − b in all three equations. And solve for a , b
From this you will get 4 solutions.
Again put c = − a − b + 1 in all three equations. And solve for a , b
From this you will get 4 more solutions.