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Solución de sistemas de ecuaciones/ yx=2; y-x^2=1

yx=2; y-x^2=1

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Solución

Ha introducido [src] 
y*x = 2
$$x y = 2$$ 
     2    
y - x  = 1
$$- x^{2} + y = 1$$ 
-x^2 + y = 1
Respuesta rápida
$$x_{1} = 1$$
=
$$1$$
=
1

$$y_{1} = 2$$
=
$$2$$
=
2
$$x_{2} = \frac{\left(- \frac{3}{2} - \frac{\sqrt{7} i}{2}\right) \left(- \frac{1}{2} - \frac{\sqrt{7} i}{2}\right)}{2}$$
=
$$- \frac{1}{2} + \frac{\sqrt{7} i}{2}$$
=
-0.5 + 1.3228756555323*i

$$y_{2} = - \frac{1}{2} - \frac{\sqrt{7} i}{2}$$
=
$$- \frac{1}{2} - \frac{\sqrt{7} i}{2}$$
=
-0.5 - 1.3228756555323*i
$$x_{3} = \frac{\left(- \frac{3}{2} + \frac{\sqrt{7} i}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{7} i}{2}\right)}{2}$$
=
$$- \frac{1}{2} - \frac{\sqrt{7} i}{2}$$
=
-0.5 - 1.3228756555323*i

$$y_{3} = - \frac{1}{2} + \frac{\sqrt{7} i}{2}$$
=
$$- \frac{1}{2} + \frac{\sqrt{7} i}{2}$$
=
-0.5 + 1.3228756555323*i
Respuesta numérica [src] 
x1 = 1.000000000000036
y1 = 1.999999999999997
x2 = 1.00000000000248
y2 = 1.999999999997812
x3 = 1.0
y3 = 2.0
x3 = 1.0
y3 = 2.0
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