827_103027.jpg')
这意思就是有可能获得虚假解,需要用户自己判断结果的准确性,毕竟符号工具无法完全涵盖所有方程类型,甚至给个数值解就很不错了。
syms x y z
eq1 = x^2+y^2+x*y==12;
eq2 = sqrt(3)*x/x+2*y==z;
eq3 = x*sqrt(1+z^2)/z==4;
[x,y,z] = solve([eq1,eq2,eq3])
答案
x =
2*3^(1/2)
3^(1/2)/3 - (11*3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1))/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^3)/48
3^(1/2)/3 - (11*3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2))/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^3)/48
3^(1/2)/3 - (11*3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3))/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^3)/48
3^(1/2)/3 - (11*3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4))/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^3)/48
y =
0
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1))/12 - (2*3^(1/2))/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^2)/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^3)/48
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2))/12 - (2*3^(1/2))/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^2)/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^3)/48
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3))/12 - (2*3^(1/2))/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^2)/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^3)/48
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4))/12 - (2*3^(1/2))/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^2)/12 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^3)/48
z =
3^(1/2)
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1))/6 - 3^(1/2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^2)/6 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 1)^3)/24
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2))/6 - 3^(1/2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^2)/6 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 2)^3)/24
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3))/6 - 3^(1/2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^2)/6 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 3)^3)/24
(3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4))/6 - 3^(1/2)/3 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^2)/6 - (3^(1/2)*root(z1^4 + 8*z1^3 + 12*z1^2 + 16*z1 - 64, z1, 4)^3)/24
自己看看有没有需要的