The number of ordered real pairs (x,y) with 0<x,y<1 satisfying the sim – InterviewSolution

1.	The number of ordered real pairs (x,y) with 0<x,y<1 satisfying the simultaneous equation 1+√1−x2x=1+2y1−y+√1−y2 and 25(1−x2)=17−10√1−y2 is
Answer» The number of ordered real pairs $(x, y)$ with $0 < x, y < 1$ satisfying the simultaneous equation $\frac{1 + \sqrt{1 - x^{2}}}{x} = 1 + \frac{2 y}{1 - y + \sqrt{1 - y^{2}}}$ and $25 (1 - x^{2}) = 17 - 10 \sqrt{1 - y^{2}}$ is

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