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Hey guys can you help me solve this problem:

Find all real numbers [tex]a[/tex] with the property that the polynomial equation [tex]x^{10} + ax + 1 = 0[/tex] has a real solution [tex]r[/tex] such that [tex]1 / r[/tex] is also a solution.

Thank you for helping me

Sry I have posted this problem once before, but nobody helped me and I need to know how to solve the problem badly. Please help me

Find all real numbers [tex]a[/tex] with the property that the polynomial equation [tex]x^{10} + ax + 1 = 0[/tex] has a real solution [tex]r[/tex] such that [tex]1 / r[/tex] is also a solution.

Thank you for helping me

Sry I have posted this problem once before, but nobody helped me and I need to know how to solve the problem badly. Please help me

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