Suma y producto de raíces
[src]
/ / 6 5 4 3 2 \\ / / 6 5 4 3 2 \\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 0// + 2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 1// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5///
$$\left(\left(\left(\left(2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 0\right)} \right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 1\right)} \right)}\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)}\right)$$
/ / 6 5 4 3 2 \\ / / 6 5 4 3 2 \\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 0// + 2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 1// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5///
$$2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 0\right)} \right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)} + 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 1\right)} \right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)}$$
/ / 6 5 4 3 2 \\ / / 6 5 4 3 2 \\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\
2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 0//*2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 1//*\2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2////*\2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3////*\2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4////*\2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5////
$$2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 0\right)} \right)} 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 1\right)} \right)} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)}\right)$$
/ / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\\ / / 6 5 4 3 2 \\ / / 6 5 4 3 2 \\
64*\I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2////*\I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3////*\I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4////*\I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5/// + re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5////*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 0//*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 1//
$$64 \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)}\right) \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 0\right)} \right)} \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 1\right)} \right)}$$
64*(i*im(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 2))) + re(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 2))))*(i*im(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 3))) + re(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 3))))*(i*im(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 4))) + re(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 4))))*(i*im(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 5))) + re(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 5))))*atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 0))*atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 1))
/ / 6 5 4 3 2 \\
x1 = 2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 0//
$$x_{1} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 0\right)} \right)}$$
/ / 6 5 4 3 2 \\
x2 = 2*atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 1//
$$x_{2} = 2 \operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 1\right)} \right)}$$
/ / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
x3 = 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 2///
$$x_{3} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 2\right)} \right)}\right)}$$
/ / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
x4 = 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 3///
$$x_{4} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 3\right)} \right)}\right)}$$
/ / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
x5 = 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 4///
$$x_{5} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 4\right)} \right)}\right)}$$
/ / / 6 5 4 3 2 \\\ / / / 6 5 4 3 2 \\\
x6 = 2*re\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5/// + 2*I*im\atan\CRootOf\x + 4*x - 7*x + 8*x - x + 4*x - 1, 5///
$$x_{6} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\operatorname{CRootOf} {\left(x^{6} + 4 x^{5} - 7 x^{4} + 8 x^{3} - x^{2} + 4 x - 1, 5\right)} \right)}\right)}$$
Eq(x6, 2*re(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 5))) + 2*i*im(atan(CRootOf(x^6 + 4*x^5 - 7*x^4 + 8*x^3 - x^2 + 4*x - 1, 5))))