x*sqrt(x-a)=sqrt(4*x^2-(4*a+2)*x+2*a) la ecuación
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Solución
Suma y producto de raíces
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I*im(a) + re(a) + 2 - \/ 2 + 2 + \/ 2
$$\left(\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}\right) + \left(2 - \sqrt{2}\right)\right) + \left(\sqrt{2} + 2\right)$$
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4$$
/ ___\ / ___\
(I*im(a) + re(a))*\2 - \/ 2 /*\2 + \/ 2 /
$$\left(2 - \sqrt{2}\right) \left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}\right) \left(\sqrt{2} + 2\right)$$
$$2 \operatorname{re}{\left(a\right)} + 2 i \operatorname{im}{\left(a\right)}$$
$$x_{1} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)}$$
$$x_{2} = 2 - \sqrt{2}$$
$$x_{3} = \sqrt{2} + 2$$