It is known that the system of equations (x + 1) ^ 2 + y ^ 2 = 2, y = - x + B has a real solution, and the image of the inverse scale function y = 1 + B / X in each quadrant, y increases with the increase of X. if the point (a, 3) is on the hyperbola, find the value of A
It is known that (x + 1) ^ 2 + (- x + b) ^ 2 = 2
2X ^ 2 + 2 (1-B) x + B ^ 2-1 = 0, there is only one solution, (1-B) ^ 2 / 4 = (b ^ 2-1) / 2, so B = - 1,
a=-1/2
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