Suma y producto de raíces
[src]
/ / 4 2 \\ / / 4 2 \\ / / 4 2 \\ / / 4 2 \\
- 2*I*log\CRootOf\x - 4*x + 1, 2// - 2*I*log\CRootOf\x - 4*x + 1, 3// + 2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 0// + 2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 1//
$$\left(\left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) + \left(- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)}\right)\right) + \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right)$$
/ / 4 2 \\ / / 4 2 \\ / / 4 2 \\ / / 4 2 \\
4*pi - 2*I*log\-CRootOf\x - 4*x + 1, 0// - 2*I*log\-CRootOf\x - 4*x + 1, 1// - 2*I*log\CRootOf\x - 4*x + 1, 2// - 2*I*log\CRootOf\x - 4*x + 1, 3//
$$4 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)} - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)} - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)}$$
/ / 4 2 \\ / / 4 2 \\ / / / 4 2 \\\ / / / 4 2 \\\
-2*I*log\CRootOf\x - 4*x + 1, 2//*-2*I*log\CRootOf\x - 4*x + 1, 3//*\2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 0///*\2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 1///
$$- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} \left(- 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)}\right) \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) \left(2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right)$$
/ / / 4 2 \\\ / / / 4 2 \\\ / / 4 2 \\ / / 4 2 \\
-16*\pi - I*log\-CRootOf\x - 4*x + 1, 0///*\pi - I*log\-CRootOf\x - 4*x + 1, 1///*log\CRootOf\x - 4*x + 1, 2//*log\CRootOf\x - 4*x + 1, 3//
$$- 16 \left(\pi - i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}\right) \left(\pi - i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}\right) \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)} \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)}$$
-16*(pi - i*log(-CRootOf(x^4 - 4*x^2 + 1, 0)))*(pi - i*log(-CRootOf(x^4 - 4*x^2 + 1, 1)))*log(CRootOf(x^4 - 4*x^2 + 1, 2))*log(CRootOf(x^4 - 4*x^2 + 1, 3))
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x1 = -2*I*log\CRootOf\x - 4*x + 1, 2//
$$x_{1} = - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 2\right)} \right)}$$
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x2 = -2*I*log\CRootOf\x - 4*x + 1, 3//
$$x_{2} = - 2 i \log{\left(\operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 3\right)} \right)}$$
/ / 4 2 \\
x3 = 2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 0//
$$x_{3} = 2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 0\right)} \right)}$$
/ / 4 2 \\
x4 = 2*pi - 2*I*log\-CRootOf\x - 4*x + 1, 1//
$$x_{4} = 2 \pi - 2 i \log{\left(- \operatorname{CRootOf} {\left(x^{4} - 4 x^{2} + 1, 1\right)} \right)}$$
Eq(x4, 2*pi - 2*i*log(-CRootOf(x^4 - 4*x^2 + 1, 1)))