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