x+y+z=88,1500x+800y+500z=95000
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x+y+z=88,1500x+800y+500z=95000
三元方程组如果不够三个方程的话可以有无数组解.求正整数解可用以下方法:
x+y+z=88 5x+5y+5z=440
1500x+800y+500z=95000 15x+8y+5z=950
10x+3y=510 令y=10a则10x+30a=510
x+3a=51
x=51-3a=3(17-a)
z=88-x-y=88-51+3a-10a=37-7a
x>0 3(17-a)>0 17-a>0 a0 10a>0 a>0
z>0 37-7a>0 37>7a a
x+y+z=88 5x+5y+5z=440
1500x+800y+500z=95000 15x+8y+5z=950
10x+3y=510 令y=10a则10x+30a=510
x+3a=51
x=51-3a=3(17-a)
z=88-x-y=88-51+3a-10a=37-7a
x>0 3(17-a)>0 17-a>0 a0 10a>0 a>0
z>0 37-7a>0 37>7a a
(x+y-z)(x-y+z)=
X+Y+Z=?
f(x,y,z,w)=x*(x+y)*(x+y+z)*(x+y+z+w)
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