Sr Examen
yz+2x*v+u=0; xz+2y*v+u=0; xy+2z*v+u=0; x^2+y^2+z^2=1; x+y+z=0
Solución
Ha introducido
[src]
y*z + 2*x*v + u = 0
$$u + \left(v 2 x + y z\right) = 0$$
x*z + 2*y*v + u = 0
$$u + \left(v 2 y + x z\right) = 0$$
x*y + 2*z*v + u = 0
$$u + \left(v 2 z + x y\right) = 0$$
2 2 2 x + y + z = 1
$$z^{2} + \left(x^{2} + y^{2}\right) = 1$$
x + y + z = 0
$$z + \left(x + y\right) = 0$$
z + x + y = 0
Respuesta rápida
$$u_{1} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{1} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$x_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$y_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$z_{1} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{1} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$x_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$y_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$z_{1} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
0.816496580927726
$$u_{2} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{2} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$x_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$y_{2} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
$$z_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{2} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$x_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$y_{2} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
0.816496580927726
$$z_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$u_{3} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{3} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$x_{3} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
$$y_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$z_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{3} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$x_{3} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
0.816496580927726
$$y_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$z_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
-0.408248290463863
$$u_{4} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{4} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$x_{4} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
$$y_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$z_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{4} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$x_{4} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
-0.816496580927726
$$y_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$z_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$u_{5} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{5} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$x_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$y_{5} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
$$z_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{5} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$x_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$y_{5} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
-0.816496580927726
$$z_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$u_{6} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$v_{6} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$x_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$y_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$z_{6} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
=
$$\frac{1}{6}$$
=
0.166666666666667
$$v_{6} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$x_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$y_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
0.408248290463863
$$z_{6} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
-0.816496580927726