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Question: How to find number a, b, c, d, m so that this equation has four integer solutions?

Question:How to find number a, b, c, d, m so that this equation has four integer solutions?

minhthien2016 370 Maple 2018
integer solve
February 16 2021
1

I  am trying to find the integer numbers a, b, c, d, m so that the equation

(x−a)(x−b)(x−c)(x−d)=m

where a+d=b+c  and m≠0 has four integer solutions.

I found this equation randomly
solve((x-5) (x-3) (x+6) (x+8)=504, x);
How to find number a, b, c, d, m so that the equation
(x−a)(x−b)(x−c)(x−d)=m
has four integer solutions?
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