2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9

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Problem

Find the number of $4$-tuples $(a,b,c,d)$ with $a, b, c$ and $d$ positive integers, such that $x^2-ax + b = 0, x^2-bx + c = 0, x^2 -cx + d = 0$ and $x^2-dx + a = 0$ have integer roots


Solution

See also

2018 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions