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xy=1; y=2x²

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Solución

Ha introducido [src]
x*y = 1
xy=1x y = 1
       2
y = 2*x 
y=2x2y = 2 x^{2}
y = 2*x^2
Respuesta rápida
x1=2232x_{1} = \frac{2^{\frac{2}{3}}}{2}
=
2232\frac{2^{\frac{2}{3}}}{2}
=
0.793700525984100

y1=23y_{1} = \sqrt[3]{2}
=
23\sqrt[3]{2}
=
1.25992104989487
x2=(232233i2)22x_{2} = \frac{\left(- \frac{\sqrt[3]{2}}{2} - \frac{\sqrt[3]{2} \sqrt{3} i}{2}\right)^{2}}{2}
=
223(1+3i)4\frac{2^{\frac{2}{3}} \left(-1 + \sqrt{3} i\right)}{4}
=
-0.39685026299205 + 0.687364818499301*i

y2=232233i2y_{2} = - \frac{\sqrt[3]{2}}{2} - \frac{\sqrt[3]{2} \sqrt{3} i}{2}
=
23(1+3i)2- \frac{\sqrt[3]{2} \left(1 + \sqrt{3} i\right)}{2}
=
-0.629960524947437 - 1.09112363597172*i
x3=(232+233i2)22x_{3} = \frac{\left(- \frac{\sqrt[3]{2}}{2} + \frac{\sqrt[3]{2} \sqrt{3} i}{2}\right)^{2}}{2}
=
223(13i)28\frac{2^{\frac{2}{3}} \left(1 - \sqrt{3} i\right)^{2}}{8}
=
-0.39685026299205 - 0.687364818499301*i

y3=232+233i2y_{3} = - \frac{\sqrt[3]{2}}{2} + \frac{\sqrt[3]{2} \sqrt{3} i}{2}
=
23(1+3i)2\frac{\sqrt[3]{2} \left(-1 + \sqrt{3} i\right)}{2}
=
-0.629960524947437 + 1.09112363597172*i
Respuesta numérica [src]
x1 = 0.7937005259840997
y1 = 1.259921049894873
x1 = 0.7937005259840997
y1 = 1.259921049894873