Ola liliane

x² - y² = 1

y = x + b

y² = x² + 2bx + b²

x² - x² - 2bx - b² = 1

2bx = -1 - b²

x = (-1 - b)/2b

y = x + b

y = (-1 - b)/2b + 2b/2b

y = (-1 + b)/2b

x² = (b² + 2b + 1)/4b²

y² = (b² - 2b + 1)/4b²

x² - y² = 4b/4b² = 1

1/b = 1

b = 1

pronto