SOLUTION: 2y^2 - x^2 = 1 y+1 = x

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Question 359858: 2y^2 - x^2 = 1
y+1 = x

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2y%5E2+-+x%5E2+=+1
y%2B1+=+x. substitute the bottom equation into the top equation:
2y%5E2+-%28y%2B1%29%5E2+=+1,
2y%5E2+-y%5E2+-+2y-1+=+1,
y%5E2+-2y-2+=+0,
y+=+%282+%2B-+sqrt%28+2%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29,
y+=+%282+%2B-+sqrt%28+12+%29%29%2F2,
y+=+%282%2B-2sqrt%283%29%29%2F2,
y+=+1%2B-sqrt%283%29. Then x+=+2%2B-sqrt%283%29.