Problem

Find a formula for all the points on the hyperbolax2 − y2 = 1whose coordinates are rationa...

Find a formula for all the points on the hyperbola

x2 y2 = 1

whose coordinates are rational numbers. [Hint. Take the line through the point (1, 0) having rational slope m and find a formula in terms of m for the second point where the line intersects the hyperbola.]

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Solutions For Problems in Chapter 3