y=c*(x^2-1)^0.5 la ecuación
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Solución
Suma y producto de raíces
[src]
/ _________\ / _________\
| / 2 | | / 2 |
I*im\c*\/ -1 + x / + re\c*\/ -1 + x /
$$\operatorname{re}{\left(c \sqrt{x^{2} - 1}\right)} + i \operatorname{im}{\left(c \sqrt{x^{2} - 1}\right)}$$
/ _________\ / _________\
| / 2 | | / 2 |
I*im\c*\/ -1 + x / + re\c*\/ -1 + x /
$$\operatorname{re}{\left(c \sqrt{x^{2} - 1}\right)} + i \operatorname{im}{\left(c \sqrt{x^{2} - 1}\right)}$$
/ _________\ / _________\
| / 2 | | / 2 |
I*im\c*\/ -1 + x / + re\c*\/ -1 + x /
$$\operatorname{re}{\left(c \sqrt{x^{2} - 1}\right)} + i \operatorname{im}{\left(c \sqrt{x^{2} - 1}\right)}$$
/ _________\ / _________\
| / 2 | | / 2 |
I*im\c*\/ -1 + x / + re\c*\/ -1 + x /
$$\operatorname{re}{\left(c \sqrt{x^{2} - 1}\right)} + i \operatorname{im}{\left(c \sqrt{x^{2} - 1}\right)}$$
i*im(c*sqrt(-1 + x^2)) + re(c*sqrt(-1 + x^2))
/ _________\ / _________\
| / 2 | | / 2 |
y1 = I*im\c*\/ -1 + x / + re\c*\/ -1 + x /
$$y_{1} = \operatorname{re}{\left(c \sqrt{x^{2} - 1}\right)} + i \operatorname{im}{\left(c \sqrt{x^{2} - 1}\right)}$$
y1 = re(c*sqrt(x^2 - 1)) + i*im(c*sqrt(x^2 - 1))