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Cubic equation/Solution/Check/Exercise
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From Wikiversity
Show that
z
=
−
1
+
2
3
+
−
1
−
2
3
{\displaystyle {}z={\sqrt[{3}]{-1+{\sqrt {2}}}}+{\sqrt[{3}]{-1-{\sqrt {2}}}}\,}
is a zero of the polynomial
X
3
+
3
X
+
2.
{\displaystyle X^{3}+3X+2.}
Create a solution
Category
:
Mathematical exercise
![{\displaystyle {}z={\sqrt[{3}]{-1+{\sqrt {2}}}}+{\sqrt[{3}]{-1-{\sqrt {2}}}}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0a39d977536d0c3a9667948a3622f46787086352)
