Sr Examen
xy+a+by+bx=0; yz+a+bz+by=0; xz+a+bx+bz=0; x+y+z=5; xy+xz+yz=1
Solución
Ha introducido
[src]
x*y + a + b*y + b*x = 0
$$b x + \left(b y + \left(a + x y\right)\right) = 0$$
y*z + a + b*z + b*y = 0
$$b y + \left(b z + \left(a + y z\right)\right) = 0$$
x*z + a + b*x + b*z = 0
$$b z + \left(b x + \left(a + x z\right)\right) = 0$$
x + y + z = 5
$$z + \left(x + y\right) = 5$$
x*y + x*z + y*z = 1
$$y z + \left(x y + x z\right) = 1$$
y*z + x*y + x*z = 1
Respuesta rápida
$$a_{1} = \frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$b_{1} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$x_{1} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$y_{1} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$z_{1} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
0.0106491557517449
$$b_{1} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
-0.103194746725523
$$x_{1} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$y_{1} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$z_{1} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
4.79361050654895
$$a_{2} = \frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$b_{2} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$x_{2} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$y_{2} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$z_{2} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
0.0106491557517449
$$b_{2} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
-0.103194746725523
$$x_{2} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$y_{2} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
4.79361050654895
$$z_{2} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$a_{3} = \frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
$$b_{3} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$x_{3} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$y_{3} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$z_{3} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
=
$$\frac{47}{9} - \frac{10 \sqrt{22}}{9}$$
=
0.0106491557517449
$$b_{3} = - \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} + \frac{\sqrt{22}}{3}$$
=
-0.103194746725523
$$x_{3} = \frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} + \frac{2 \sqrt{22}}{3}$$
=
4.79361050654895
$$y_{3} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$z_{3} = \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
0.103194746725523
$$a_{4} = \frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$b_{4} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$x_{4} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$y_{4} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$z_{4} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
10.4337952886927
$$b_{4} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
-3.23013858660781
$$x_{4} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
-1.46027717321562
$$y_{4} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$z_{4} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$a_{5} = \frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$b_{5} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$x_{5} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$y_{5} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$z_{5} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
10.4337952886927
$$b_{5} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
-3.23013858660781
$$x_{5} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$y_{5} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
-1.46027717321562
$$z_{5} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$a_{6} = \frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
$$b_{6} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$x_{6} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$y_{6} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$z_{6} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
=
$$\frac{10 \sqrt{22}}{9} + \frac{47}{9}$$
=
10.4337952886927
$$b_{6} = - \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
$$- \frac{5}{3} - \frac{\sqrt{22}}{3}$$
=
-3.23013858660781
$$x_{6} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$y_{6} = \frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
$$\frac{\sqrt{22}}{3} + \frac{5}{3}$$
=
3.23013858660781
$$z_{6} = \frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
$$\frac{5}{3} - \frac{2 \sqrt{22}}{3}$$
=
-1.46027717321562