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xy=1; x+y=5

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Solución

Ha introducido [src]
x*y = 1
$$x y = 1$$
x + y = 5
$$x + y = 5$$
x + y = 5
Respuesta rápida
$$x_{1} = \frac{5}{2} - \frac{\sqrt{21}}{2}$$
=
$$\frac{5}{2} - \frac{\sqrt{21}}{2}$$
=
0.208712152522080

$$y_{1} = \frac{\sqrt{21}}{2} + \frac{5}{2}$$
=
$$\frac{\sqrt{21}}{2} + \frac{5}{2}$$
=
4.79128784747792
$$x_{2} = \frac{\sqrt{21}}{2} + \frac{5}{2}$$
=
$$\frac{\sqrt{21}}{2} + \frac{5}{2}$$
=
4.79128784747792

$$y_{2} = \frac{5}{2} - \frac{\sqrt{21}}{2}$$
=
$$\frac{5}{2} - \frac{\sqrt{21}}{2}$$
=
0.208712152522080
Respuesta numérica [src]
x1 = 0.20871215252208
y1 = 4.79128784747792
x2 = 4.79128784747792
y2 = 0.20871215252208
x2 = 4.79128784747792
y2 = 0.20871215252208