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Solución de sistemas de ecuaciones/ xy=1; x+y=5

xy=1; x+y=5

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Gráfico:

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interior superior

Solución

Ha introducido [src] 
x*y = 1
xy=1x y = 1 
x + y = 5
x+y=5x + y = 5 
x + y = 5
Respuesta rápida
x1=52−212x_{1} = \frac{5}{2} - \frac{\sqrt{21}}{2}
=
52−212\frac{5}{2} - \frac{\sqrt{21}}{2}
=
0.208712152522080

y1=212+52y_{1} = \frac{\sqrt{21}}{2} + \frac{5}{2}
=
212+52\frac{\sqrt{21}}{2} + \frac{5}{2}
=
4.79128784747792
x2=212+52x_{2} = \frac{\sqrt{21}}{2} + \frac{5}{2}
=
212+52\frac{\sqrt{21}}{2} + \frac{5}{2}
=
4.79128784747792

y2=52−212y_{2} = \frac{5}{2} - \frac{\sqrt{21}}{2}
=
52−212\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
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