CEMC Euclid, 2008

Algebra Difficulty 2.0 Junior Prove it Canada

Each part of this problem refers to the parabola $y = (x-2)(x-8)+7$ . The points $(2, 7)$ and $(c, 7)$ , where $c \neq 2$ , lie on the parabola. What is the value of $c$ ?

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