Sr Examen
kx-y+2z=0; 2x+y-z=3; ky+z=1
Solución
Ha introducido
[src]
k*x - y + 2*z = 0
$$2 z + \left(k x - y\right) = 0$$
2*x + y - z = 3
$$- z + \left(2 x + y\right) = 3$$
k*y + z = 1
$$k y + z = 1$$
k*y + z = 1
Respuesta rápida
$$k_{1} = \frac{- 5 z - \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
$$\frac{- 5 z - \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
$$x_{1} = - \frac{z}{8} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$- \frac{z}{8} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$y_{1} = \frac{5 z}{4} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
$$\frac{5 z}{4} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
=
$$\frac{- 5 z - \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
0.5*(1 - 5*z - 5.09901951359278*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5)/(3 + z)
$$x_{1} = - \frac{z}{8} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$- \frac{z}{8} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
1.625 + 0.637377439199098*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5 - 0.125*z
$$y_{1} = \frac{5 z}{4} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
$$\frac{5 z}{4} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
-0.25 + 1.25*z - 1.2747548783982*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5
$$k_{2} = \frac{- 5 z + \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
$$\frac{- 5 z + \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
$$x_{2} = - \frac{z}{8} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$- \frac{z}{8} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$y_{2} = \frac{5 z}{4} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
$$\frac{5 z}{4} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
=
$$\frac{- 5 z + \sqrt{17 z^{2} - 26 z + 25} + 1}{2 \left(z + 3\right)}$$
=
0.5*(1 + 5.09901951359278*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5 - 5*z)/(3 + z)
$$x_{2} = - \frac{z}{8} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
$$- \frac{z}{8} - \frac{\sqrt{17 z^{2} - 26 z + 25}}{8} + \frac{13}{8}$$
=
1.625 - 0.125*z - 0.637377439199098*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5
$$y_{2} = \frac{5 z}{4} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
$$\frac{5 z}{4} + \frac{\sqrt{17 z^{2} - 26 z + 25}}{4} - \frac{1}{4}$$
=
-0.25 + 1.25*z + 1.2747548783982*(0.961538461538462 - z + 0.653846153846154*z^2)^0.5