Integers x and y are such that:
A=x
4+8x
3+26x
2+40x+24
B=y
4+4y
3+8y
2+8y+3
C=x
4+8x
3+30x
2+56x+48
If C>B>A, how many different solution (x,y) pairs are there?
continuation: computer exploration--probably complete solution
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(In reply to
computer exploration--probably complete solution by Charlie)
3 0 675 3 783
3 1 675 24 783
3 2 675 99 783
3 3 675 288 783
3 4 675 675 783
3 5 675 1368 783
3 6 675 2499 783
3 7 675 4224 783
3 8 675 6723 783
3 9 675 10200 783
3 10 675 14883 783
3 11 675 21024 783
3 12 675 28899 783
4 0 1368 3 1520
4 1 1368 24 1520
4 2 1368 99 1520
4 3 1368 288 1520
4 4 1368 675 1520
4 5 1368 1368 1520
4 6 1368 2499 1520
4 7 1368 4224 1520
4 8 1368 6723 1520
4 9 1368 10200 1520
4 10 1368 14883 1520
4 11 1368 21024 1520
4 12 1368 28899 1520
5 0 2499 3 2703
5 1 2499 24 2703
5 2 2499 99 2703
5 3 2499 288 2703
5 4 2499 675 2703
5 5 2499 1368 2703
5 6 2499 2499 2703
5 7 2499 4224 2703
5 8 2499 6723 2703
5 9 2499 10200 2703
5 10 2499 14883 2703
5 11 2499 21024 2703
5 12 2499 28899 2703
6 0 4224 3 4488
6 1 4224 24 4488
6 2 4224 99 4488
6 3 4224 288 4488
6 4 4224 675 4488
6 5 4224 1368 4488
6 6 4224 2499 4488
6 7 4224 4224 4488
6 8 4224 6723 4488
6 9 4224 10200 4488
6 10 4224 14883 4488
6 11 4224 21024 4488
6 12 4224 28899 4488
7 0 6723 3 7055
7 1 6723 24 7055
7 2 6723 99 7055
7 3 6723 288 7055
7 4 6723 675 7055
7 5 6723 1368 7055
7 6 6723 2499 7055
7 7 6723 4224 7055
7 8 6723 6723 7055
7 9 6723 10200 7055
7 10 6723 14883 7055
7 11 6723 21024 7055
7 12 6723 28899 7055
8 0 10200 3 10608
8 1 10200 24 10608
8 2 10200 99 10608
8 3 10200 288 10608
8 4 10200 675 10608
8 5 10200 1368 10608
8 6 10200 2499 10608
8 7 10200 4224 10608
8 8 10200 6723 10608
8 9 10200 10200 10608
8 10 10200 14883 10608
8 11 10200 21024 10608
8 12 10200 28899 10608
9 0 14883 3 15375
9 1 14883 24 15375
9 2 14883 99 15375
9 3 14883 288 15375
9 4 14883 675 15375
9 5 14883 1368 15375
9 6 14883 2499 15375
9 7 14883 4224 15375
9 8 14883 6723 15375
9 9 14883 10200 15375
9 10 14883 14883 15375
9 11 14883 21024 15375
9 12 14883 28899 15375
10 0 21024 3 21608
10 1 21024 24 21608
10 2 21024 99 21608
10 3 21024 288 21608
10 4 21024 675 21608
10 5 21024 1368 21608
10 6 21024 2499 21608
10 7 21024 4224 21608
10 8 21024 6723 21608
10 9 21024 10200 21608
10 10 21024 14883 21608
10 11 21024 21024 21608
10 12 21024 28899 21608
11 0 28899 3 29583
11 1 28899 24 29583
11 2 28899 99 29583
11 3 28899 288 29583
11 4 28899 675 29583
11 5 28899 1368 29583
11 6 28899 2499 29583
11 7 28899 4224 29583
11 8 28899 6723 29583
11 9 28899 10200 29583
11 10 28899 14883 29583
11 11 28899 21024 29583
11 12 28899 28899 29583
12 0 38808 3 39600
12 1 38808 24 39600
12 2 38808 99 39600
12 3 38808 288 39600
12 4 38808 675 39600
12 5 38808 1368 39600
12 6 38808 2499 39600
12 7 38808 4224 39600
12 8 38808 6723 39600
12 9 38808 10200 39600
12 10 38808 14883 39600
12 11 38808 21024 39600
12 12 38808 28899 39600
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Posted by Charlie
on 2020-09-23 09:40:49 |
