Suma y producto de raíces
[src]
/(-1 + re(c*y))*(im(c) + im(y)) (re(c) + re(y))*im(c*y) \ (-1 + re(c*y))*(re(c) + re(y)) (im(c) + im(y))*im(c*y)
I*|------------------------------ - --------------------------| + ------------------------------ + --------------------------
| 2 2 2 2 | 2 2 2 2
\ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)/ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)
$$i \left(- \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(c y\right)} - 1\right) \left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \left(\operatorname{re}{\left(c y\right)} - 1\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}$$
/(-1 + re(c*y))*(im(c) + im(y)) (re(c) + re(y))*im(c*y) \ (-1 + re(c*y))*(re(c) + re(y)) (im(c) + im(y))*im(c*y)
I*|------------------------------ - --------------------------| + ------------------------------ + --------------------------
| 2 2 2 2 | 2 2 2 2
\ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)/ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)
$$i \left(- \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(c y\right)} - 1\right) \left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \left(\operatorname{re}{\left(c y\right)} - 1\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}$$
/(-1 + re(c*y))*(im(c) + im(y)) (re(c) + re(y))*im(c*y) \ (-1 + re(c*y))*(re(c) + re(y)) (im(c) + im(y))*im(c*y)
I*|------------------------------ - --------------------------| + ------------------------------ + --------------------------
| 2 2 2 2 | 2 2 2 2
\ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)/ (-1 + re(c*y)) + im (c*y) (-1 + re(c*y)) + im (c*y)
$$i \left(- \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{re}{\left(c y\right)} - 1\right) \left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}\right) + \frac{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \left(\operatorname{re}{\left(c y\right)} - 1\right)}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}} + \frac{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}$$
I*((-1 + re(c*y))*(im(c) + im(y)) - (re(c) + re(y))*im(c*y)) + (-1 + re(c*y))*(re(c) + re(y)) + (im(c) + im(y))*im(c*y)
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2 2
(-1 + re(c*y)) + im (c*y)
$$\frac{i \left(- \left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)} + \left(\operatorname{re}{\left(c y\right)} - 1\right) \left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)\right) + \left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}\right) \left(\operatorname{re}{\left(c y\right)} - 1\right) + \left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right) \operatorname{im}{\left(c y\right)}}{\left(\operatorname{re}{\left(c y\right)} - 1\right)^{2} + \left(\operatorname{im}{\left(c y\right)}\right)^{2}}$$
(i*((-1 + re(c*y))*(im(c) + im(y)) - (re(c) + re(y))*im(c*y)) + (-1 + re(c*y))*(re(c) + re(y)) + (im(c) + im(y))*im(c*y))/((-1 + re(c*y))^2 + im(c*y)^2)