10*x+27127*y/500+30*z=0 20*x+30*y+7127*z/500=0 x^2+y^2+z^2=1

Вы ввели

[TeX]

[pretty]

[text]

       27127*y           
10*x + ------- + 30*z = 0
         500             

$$30 z + 10 x + \frac{27127 y}{500} = 0$$

              7127*z    
20*x + 30*y + ------ = 0
               500      

$$\frac{7127 z}{500} + 20 x + 30 y = 0$$

 2    2    2    
x  + y  + z  = 1

$$z^{2} + x^{2} + y^{2} = 1$$

Быстрый ответ

[TeX]

$$x_{1} = - \frac{31665871 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$- \frac{31665871 \sqrt{5844888167909849}}{17534664503729547}$$
=

-0.138064517804792

$$z_{1} = - \frac{196270000 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$- \frac{196270000 \sqrt{5844888167909849}}{17534664503729547}$$
=

-0.855745383082833

$$y_{1} = \frac{114365000 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$\frac{114365000 \sqrt{5844888167909849}}{17534664503729547}$$
=

0.498636168218618

$$x_{2} = \frac{31665871 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$\frac{31665871 \sqrt{5844888167909849}}{17534664503729547}$$
=

0.138064517804792

$$z_{2} = \frac{196270000 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$\frac{196270000 \sqrt{5844888167909849}}{17534664503729547}$$
=

0.855745383082833

$$y_{2} = - \frac{114365000 \sqrt{5844888167909849}}{17534664503729547}$$
=
$$- \frac{114365000 \sqrt{5844888167909849}}{17534664503729547}$$
=

-0.498636168218618

Численный ответ

[pretty]

[text]

x1 = 0.1380645178047922
y1 = -0.4986361682186182
z1 = 0.8557453830828329

x2 = 0.1380645178047922
y2 = -0.4986361682186181
z2 = 0.8557453830828328

x3 = -0.1380645178047929
y3 = 0.4986361682186205
z3 = -0.8557453830828369

x4 = 0.1380645178047928
y4 = -0.4986361682186204
z4 = 0.8557453830828367

x5 = -0.1380645178047928
y5 = 0.4986361682186204
z5 = -0.8557453830828367

x6 = -0.1380645178047922
y6 = 0.4986361682186181
z6 = -0.8557453830828328