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, 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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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.