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\( \DeclareMathOperator{\abs}{abs} \newcommand{\ensuremath}[1]{\mbox{$#1$}} \)
(%i1)
load
(
odes
)
$
(%i2)
eq
:
-
x
^
6
+
x
^
5
+
2
*
x
^
4
-
2
*
x
^
3
+
x
^
2
+
2
*
x
-
1
=
0
;
\[\tag{eq}\label{eq}-{{x}^{6}}+{{x}^{5}}+2{{x}^{4}}-2{{x}^{3}}+{{x}^{2}}+2x-1=0\]
(%i3)
solvet
(
eq
,
x
)
;
\[\tag{\%{}o3}\label{o3} [x=-1,x=-\frac{\sqrt{3}\%{}i-1}{2},x=\frac{\sqrt{3}\%{}i+1}{2},x=\frac{2\sqrt{7}\,\cos{\left( \frac{\operatorname{atan}\left( {{3}^{\frac{3}{2}}}\right) -3\ensuremath{\pi} }{3}\right) }+1}{3},x=\frac{2\sqrt{7}\,\cos{\left( \frac{\operatorname{atan}\left( {{3}^{\frac{3}{2}}}\right) -\ensuremath{\pi} }{3}\right) }+1}{3},x=\frac{2\sqrt{7}\,\cos{\left( \frac{\operatorname{atan}\left( {{3}^{\frac{3}{2}}}\right) +\ensuremath{\pi} }{3}\right) }+1}{3}]\]
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