Sr Examen
yz+2x*a+b=0; xz+2y*a+b=0; yx+2z*a+b=0; x^2+y^2+z^2=1; x+y+z=0
Solución
Ha introducido
[src]
y*z + 2*x*a + b = 0
$$b + \left(a 2 x + y z\right) = 0$$
x*z + 2*y*a + b = 0
$$b + \left(a 2 y + x z\right) = 0$$
y*x + 2*z*a + b = 0
$$b + \left(a 2 z + x y\right) = 0$$
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
$$a_{1} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$b_{1} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$y_{1} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$z_{1} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$b_{1} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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
$$a_{2} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$b_{2} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$y_{2} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
$$z_{2} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$b_{2} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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
$$a_{3} = - \frac{\sqrt{6}}{12}$$
=
$$- \frac{\sqrt{6}}{12}$$
=
$$b_{3} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{3} = \frac{\sqrt{6}}{3}$$
=
$$\frac{\sqrt{6}}{3}$$
=
$$y_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
$$z_{3} = - \frac{\sqrt{6}}{6}$$
=
$$- \frac{\sqrt{6}}{6}$$
=
=
$$- \frac{\sqrt{6}}{12}$$
=
-0.204124145231932
$$b_{3} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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
$$a_{4} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$b_{4} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{4} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
$$y_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$z_{4} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$b_{4} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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
$$a_{5} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$b_{5} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$y_{5} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
$$z_{5} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$b_{5} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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
$$a_{6} = \frac{\sqrt{6}}{12}$$
=
$$\frac{\sqrt{6}}{12}$$
=
$$b_{6} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
$$x_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$y_{6} = \frac{\sqrt{6}}{6}$$
=
$$\frac{\sqrt{6}}{6}$$
=
$$z_{6} = - \frac{\sqrt{6}}{3}$$
=
$$- \frac{\sqrt{6}}{3}$$
=
=
$$\frac{\sqrt{6}}{12}$$
=
0.204124145231932
$$b_{6} = \frac{1}{6}$$
=
$$\frac{1}{6}$$
=
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