x^2+y^2=r; x+y=r, such that the line crosses the circle at exactly two places.

Obviously with two equations and three variables, we have a solution set of answers that can satisfy the given conditions. What I want to know is of the given solutions that satisfies this problem, what is the smallest and largest values x can possibly be?

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## BMAD

Suppose we have the following system

x^2+y^2=r; x+y=r, such that the line crosses the circle at exactly two places.

Obviously with two equations and three variables, we have a solution set of answers that can satisfy the given conditions. What I want to know is of the given solutions that satisfies this problem, what is the smallest and largest values x can possibly be?

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