| No Solution Yet | Submitted by Danish Ahmed Khan |
| Rating: 5.0000 (1 votes) |
computer exploration--probably complete solution
|
 | Comment 1 of 4 |
In accordance with my switch to MATLAB:
ct=0;
for x0=0:5000
for x=-x0,x0;
for y0=0:5000
for y=-y0,y0;
A=x^4+8*x^3+26*x*x+40*x+24;
B=y^4+4*y^3+8*y*y+8*y+3;
C=x^4+8*x^3+30*x*x+56*x+48;
if C>B && B>A
answ=[x,y,A,B,C];
disp(answ)
ct=ct+1;
end
end
end
end
end
disp(ct)
finds only 2 solutions
x y A B C
-2 0 0 3 8
-2 -2 0 3 8
To find how it behaves locally around the solutions:
ct=0;
for xs=-1:2:1
for ys=-1:2:1
for x0=0:12
x=x0*xs;
for y0=0:12
y=y0*ys;
A=x^4+8*x^3+26*x*x+40*x+24;
B=y^4+4*y^3+8*y*y+8*y+3;
C=x^4+8*x^3+30*x*x+56*x+48;
% if C>B && B>A
answ=[x,y,A,B,C];
disp(answ)
ct=ct+1;
% end
end
fprintf('\n')
end
end
end
disp ct
0 0 24 3 48
0 -1 24 0 48 B is either smaller than or equal to A, or is larger than C
0 -2 24 3 48
0 -3 24 24 48
0 -4 24 99 48
0 -5 24 288 48
0 -6 24 675 48
0 -7 24 1368 48
0 -8 24 2499 48
0 -9 24 4224 48
0 -10 24 6723 48
0 -11 24 10200 48
0 -12 24 14883 48
-1 0 3 3 15 B is either smaller than or equal to A, or is larger than C
-1 -1 3 0 15
-1 -2 3 3 15
-1 -3 3 24 15
-1 -4 3 99 15
-1 -5 3 288 15
-1 -6 3 675 15
-1 -7 3 1368 15
-1 -8 3 2499 15
-1 -9 3 4224 15
-1 -10 3 6723 15
-1 -11 3 10200 15
-1 -12 3 14883 15
-2 0 0 3 8 The two solutions here; after that same as above
-2 -1 0 0 8
-2 -2 0 3 8
-2 -3 0 24 8
-2 -4 0 99 8
-2 -5 0 288 8
-2 -6 0 675 8
-2 -7 0 1368 8
-2 -8 0 2499 8
-2 -9 0 4224 8
-2 -10 0 6723 8
-2 -11 0 10200 8
-2 -12 0 14883 8
-3 0 3 3 15
-3 -1 3 0 15 B is either smaller than or equal to A, or is larger than C
-3 -2 3 3 15
-3 -3 3 24 15
-3 -4 3 99 15
-3 -5 3 288 15
-3 -6 3 675 15
-3 -7 3 1368 15
-3 -8 3 2499 15
-3 -9 3 4224 15
-3 -10 3 6723 15
-3 -11 3 10200 15
-3 -12 3 14883 15
-4 0 24 3 48
-4 -1 24 0 48
-4 -2 24 3 48 etc. ............
-4 -3 24 24 48
-4 -4 24 99 48
-4 -5 24 288 48
-4 -6 24 675 48
-4 -7 24 1368 48
-4 -8 24 2499 48
-4 -9 24 4224 48
-4 -10 24 6723 48
-4 -11 24 10200 48
-4 -12 24 14883 48
-5 0 99 3 143
-5 -1 99 0 143
-5 -2 99 3 143
-5 -3 99 24 143
-5 -4 99 99 143
-5 -5 99 288 143
-5 -6 99 675 143
-5 -7 99 1368 143
-5 -8 99 2499 143
-5 -9 99 4224 143
-5 -10 99 6723 143
-5 -11 99 10200 143
-5 -12 99 14883 143
-6 0 288 3 360
-6 -1 288 0 360
-6 -2 288 3 360
-6 -3 288 24 360
-6 -4 288 99 360
-6 -5 288 288 360
-6 -6 288 675 360
-6 -7 288 1368 360
-6 -8 288 2499 360
-6 -9 288 4224 360
-6 -10 288 6723 360
-6 -11 288 10200 360
-6 -12 288 14883 360
-7 0 675 3 783
-7 -1 675 0 783
-7 -2 675 3 783
-7 -3 675 24 783
-7 -4 675 99 783
-7 -5 675 288 783
-7 -6 675 675 783
-7 -7 675 1368 783
-7 -8 675 2499 783
-7 -9 675 4224 783
-7 -10 675 6723 783
-7 -11 675 10200 783
-7 -12 675 14883 783
-8 0 1368 3 1520
-8 -1 1368 0 1520
-8 -2 1368 3 1520
-8 -3 1368 24 1520
-8 -4 1368 99 1520
-8 -5 1368 288 1520
-8 -6 1368 675 1520
-8 -7 1368 1368 1520
-8 -8 1368 2499 1520
-8 -9 1368 4224 1520
-8 -10 1368 6723 1520
-8 -11 1368 10200 1520
-8 -12 1368 14883 1520
-9 0 2499 3 2703
-9 -1 2499 0 2703
-9 -2 2499 3 2703
-9 -3 2499 24 2703
-9 -4 2499 99 2703
-9 -5 2499 288 2703
-9 -6 2499 675 2703
-9 -7 2499 1368 2703
-9 -8 2499 2499 2703
-9 -9 2499 4224 2703
-9 -10 2499 6723 2703
-9 -11 2499 10200 2703
-9 -12 2499 14883 2703
-10 0 4224 3 4488
-10 -1 4224 0 4488
-10 -2 4224 3 4488
-10 -3 4224 24 4488
-10 -4 4224 99 4488
-10 -5 4224 288 4488
-10 -6 4224 675 4488
-10 -7 4224 1368 4488
-10 -8 4224 2499 4488
-10 -9 4224 4224 4488
-10 -10 4224 6723 4488
-10 -11 4224 10200 4488
-10 -12 4224 14883 4488
-11 0 6723 3 7055
-11 -1 6723 0 7055
-11 -2 6723 3 7055
-11 -3 6723 24 7055
-11 -4 6723 99 7055
-11 -5 6723 288 7055
-11 -6 6723 675 7055
-11 -7 6723 1368 7055
-11 -8 6723 2499 7055
-11 -9 6723 4224 7055
-11 -10 6723 6723 7055
-11 -11 6723 10200 7055
-11 -12 6723 14883 7055
-12 0 10200 3 10608
-12 -1 10200 0 10608
-12 -2 10200 3 10608
-12 -3 10200 24 10608
-12 -4 10200 99 10608
-12 -5 10200 288 10608
-12 -6 10200 675 10608
-12 -7 10200 1368 10608
-12 -8 10200 2499 10608
-12 -9 10200 4224 10608
-12 -10 10200 6723 10608
-12 -11 10200 10200 10608
-12 -12 10200 14883 10608
0 0 24 3 48
0 1 24 24 48
0 2 24 99 48
0 3 24 288 48
0 4 24 675 48
0 5 24 1368 48
0 6 24 2499 48
0 7 24 4224 48
0 8 24 6723 48
0 9 24 10200 48
0 10 24 14883 48
0 11 24 21024 48
0 12 24 28899 48
-1 0 3 3 15
-1 1 3 24 15
-1 2 3 99 15
-1 3 3 288 15
-1 4 3 675 15
-1 5 3 1368 15
-1 6 3 2499 15
-1 7 3 4224 15
-1 8 3 6723 15
-1 9 3 10200 15
-1 10 3 14883 15
-1 11 3 21024 15
-1 12 3 28899 15
-2 0 0 3 8
-2 1 0 24 8
-2 2 0 99 8
-2 3 0 288 8
-2 4 0 675 8
-2 5 0 1368 8
-2 6 0 2499 8
-2 7 0 4224 8
-2 8 0 6723 8
-2 9 0 10200 8
-2 10 0 14883 8
-2 11 0 21024 8
-2 12 0 28899 8
-3 0 3 3 15
-3 1 3 24 15
-3 2 3 99 15
-3 3 3 288 15
-3 4 3 675 15
-3 5 3 1368 15
-3 6 3 2499 15
-3 7 3 4224 15
-3 8 3 6723 15
-3 9 3 10200 15
-3 10 3 14883 15
-3 11 3 21024 15
-3 12 3 28899 15
-4 0 24 3 48
-4 1 24 24 48
-4 2 24 99 48
-4 3 24 288 48
-4 4 24 675 48
-4 5 24 1368 48
-4 6 24 2499 48
-4 7 24 4224 48
-4 8 24 6723 48
-4 9 24 10200 48
-4 10 24 14883 48
-4 11 24 21024 48
-4 12 24 28899 48
-5 0 99 3 143
-5 1 99 24 143
-5 2 99 99 143
-5 3 99 288 143
-5 4 99 675 143
-5 5 99 1368 143
-5 6 99 2499 143
-5 7 99 4224 143
-5 8 99 6723 143
-5 9 99 10200 143
-5 10 99 14883 143
-5 11 99 21024 143
-5 12 99 28899 143
-6 0 288 3 360
-6 1 288 24 360
-6 2 288 99 360
-6 3 288 288 360
-6 4 288 675 360
-6 5 288 1368 360
-6 6 288 2499 360
-6 7 288 4224 360
-6 8 288 6723 360
-6 9 288 10200 360
-6 10 288 14883 360
-6 11 288 21024 360
-6 12 288 28899 360
-7 0 675 3 783
-7 1 675 24 783
-7 2 675 99 783
-7 3 675 288 783
-7 4 675 675 783
-7 5 675 1368 783
-7 6 675 2499 783
-7 7 675 4224 783
-7 8 675 6723 783
-7 9 675 10200 783
-7 10 675 14883 783
-7 11 675 21024 783
-7 12 675 28899 783
-8 0 1368 3 1520
-8 1 1368 24 1520
-8 2 1368 99 1520
-8 3 1368 288 1520
-8 4 1368 675 1520
-8 5 1368 1368 1520
-8 6 1368 2499 1520
-8 7 1368 4224 1520
-8 8 1368 6723 1520
-8 9 1368 10200 1520
-8 10 1368 14883 1520
-8 11 1368 21024 1520
-8 12 1368 28899 1520
-9 0 2499 3 2703
-9 1 2499 24 2703
-9 2 2499 99 2703
-9 3 2499 288 2703
-9 4 2499 675 2703
-9 5 2499 1368 2703
-9 6 2499 2499 2703
-9 7 2499 4224 2703
-9 8 2499 6723 2703
-9 9 2499 10200 2703
-9 10 2499 14883 2703
-9 11 2499 21024 2703
-9 12 2499 28899 2703
-10 0 4224 3 4488
-10 1 4224 24 4488
-10 2 4224 99 4488
-10 3 4224 288 4488
-10 4 4224 675 4488
-10 5 4224 1368 4488
-10 6 4224 2499 4488
-10 7 4224 4224 4488
-10 8 4224 6723 4488
-10 9 4224 10200 4488
-10 10 4224 14883 4488
-10 11 4224 21024 4488
-10 12 4224 28899 4488
-11 0 6723 3 7055
-11 1 6723 24 7055
-11 2 6723 99 7055
-11 3 6723 288 7055
-11 4 6723 675 7055
-11 5 6723 1368 7055
-11 6 6723 2499 7055
-11 7 6723 4224 7055
-11 8 6723 6723 7055
-11 9 6723 10200 7055
-11 10 6723 14883 7055
-11 11 6723 21024 7055
-11 12 6723 28899 7055
-12 0 10200 3 10608
-12 1 10200 24 10608
-12 2 10200 99 10608
-12 3 10200 288 10608
-12 4 10200 675 10608
-12 5 10200 1368 10608
-12 6 10200 2499 10608
-12 7 10200 4224 10608
-12 8 10200 6723 10608
-12 9 10200 10200 10608
-12 10 10200 14883 10608
-12 11 10200 21024 10608
-12 12 10200 28899 10608
0 0 24 3 48
0 -1 24 0 48
0 -2 24 3 48
0 -3 24 24 48
0 -4 24 99 48
0 -5 24 288 48
0 -6 24 675 48
0 -7 24 1368 48
0 -8 24 2499 48
0 -9 24 4224 48
0 -10 24 6723 48
0 -11 24 10200 48
0 -12 24 14883 48
1 0 99 3 143
1 -1 99 0 143
1 -2 99 3 143
1 -3 99 24 143
1 -4 99 99 143
1 -5 99 288 143
1 -6 99 675 143
1 -7 99 1368 143
1 -8 99 2499 143
1 -9 99 4224 143
1 -10 99 6723 143
1 -11 99 10200 143
1 -12 99 14883 143
2 0 288 3 360
2 -1 288 0 360
2 -2 288 3 360
2 -3 288 24 360
2 -4 288 99 360
2 -5 288 288 360
2 -6 288 675 360
2 -7 288 1368 360
2 -8 288 2499 360
2 -9 288 4224 360
2 -10 288 6723 360
2 -11 288 10200 360
2 -12 288 14883 360
3 0 675 3 783
3 -1 675 0 783
3 -2 675 3 783
3 -3 675 24 783
3 -4 675 99 783
3 -5 675 288 783
3 -6 675 675 783
3 -7 675 1368 783
3 -8 675 2499 783
3 -9 675 4224 783
3 -10 675 6723 783
3 -11 675 10200 783
3 -12 675 14883 783
4 0 1368 3 1520
4 -1 1368 0 1520
4 -2 1368 3 1520
4 -3 1368 24 1520
4 -4 1368 99 1520
4 -5 1368 288 1520
4 -6 1368 675 1520
4 -7 1368 1368 1520
4 -8 1368 2499 1520
4 -9 1368 4224 1520
4 -10 &nbs
| Posted by Charlie on 2020-09-23 09:38:48 |
