CSMC 2023 Part A - Question 5, CEMC UWaterloo

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Difficulty: 7

This problem is tagged with csmc, csmc23, highschool.

(Canadian Senior Mathematics Contest 2023, Part A, Question 5, CEMC - UWaterloo)

What are all pairs of integers $(r, p)$ for which $r^2−r(p + 6) + p^2+5p+6 = 0$?

Answer Submission Note(s)
Your answer should contain pairs such as "(x1,y1),(x2,y2), ..." in increasing order of x-values (with y-values being used in breaking ties).

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