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kx−4y=2; x−ky=3

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Solución

Ha introducido [src]
k*x - 4*y = 2
$$k x - 4 y = 2$$
x - k*y = 3
$$- k y + x = 3$$
-k*y + x = 3
Respuesta rápida
$$k_{1} = \frac{- \frac{\sqrt{16 y^{2} + 8 y + 9}}{2} - \frac{3}{2}}{y}$$
=
$$- \frac{\sqrt{16 y^{2} + 8 y + 9} + 3}{2 y}$$
=
(-1.5 - 2*(0.5625 + y^2 + 0.5*y)^0.5)/y

$$x_{1} = \frac{3}{2} - \frac{\sqrt{16 y^{2} + 8 y + 9}}{2}$$
=
$$\frac{3}{2} - \frac{\sqrt{16 y^{2} + 8 y + 9}}{2}$$
=
1.5 - 2*(0.5625 + y^2 + 0.5*y)^0.5
$$k_{2} = \frac{\frac{\sqrt{16 y^{2} + 8 y + 9}}{2} - \frac{3}{2}}{y}$$
=
$$\frac{\sqrt{16 y^{2} + 8 y + 9} - 3}{2 y}$$
=
(-1.5 + 2*(0.5625 + y^2 + 0.5*y)^0.5)/y

$$x_{2} = \frac{\sqrt{16 y^{2} + 8 y + 9}}{2} + \frac{3}{2}$$
=
$$\frac{\sqrt{16 y^{2} + 8 y + 9}}{2} + \frac{3}{2}$$
=
1.5 + 2*(0.5625 + y^2 + 0.5*y)^0.5