202X+212Y+220Z=10000

来源：百度知道编辑：UC知道时间：2024/06/14 15:38:12

X Y Z 为正的整数，这道题有解吗？各是多少？

不会解，

有以下10组解
x y z
2 38 7
4 6 36
6 29 12
10 20 17
14 11 22
18 2 27
20 25 3
24 16 8
28 7 13
42 3 4

X = 2, Y = 38, Z = 7
X = 4, Y = 6, Z = 36
X = 6, Y = 29, Z = 12
X = 10, Y = 20, Z = 17
X = 14, Y = 11, Z = 22
X = 18, Y = 2, Z = 27
X = 20, Y = 25, Z = 3
X = 24, Y = 16, Z = 8
X = 28, Y = 7, Z = 13
X = 42, Y = 3, Z = 4

穷举

202X+212Y+220Z=10000 (x+y+z)(x-y+z)(x+y-z)(y+z-x)=? 已知x,y,z为正实数,y*y=x*z,求证:x*x+y*y+z*z>(x-y+z)*(x-y+z) X+Y+Z=1000 为什么 x^x*y^y=z^z 可以写成x log x + y log y = z log z X*X*X+Y*Y*Y=Z*Z*Z 有整数解没? X,Y,Z 不为0 x-y+z=a,x+y-z=b,-x+y+z=c x+y=65 y+z=58 x+z=43 求 x y z x+y+z=15 x+5y+10z=70 x,y,z,各是几? 已知x<=y<z.|x+y|+|y+z|+|z+x|=4,|x-y|=|y-z|=|z-x|=2