Given three distinct real numbers a, b, and c, show that at least two of the three following
equations: (x - a)(x - b) = x - c; (x - c)(x - b) = x - a; (x - c)(x - a) = x - b
have real solutions.
equations: (x - a)(x - b) = x - c; (x - c)(x - b) = x - a; (x - c)(x - a) = x - b
have real solutions.
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