Is there a general solution for the titular equation?
Sorry if this is a duplicate. I'm not sure how to go about searching for math equations.
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Is $a$ a positive integer? – cansomeonehelpmeout Nov 17 '21 at 17:50
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Yes, $a$ is a positive integer. – Hau Nov 17 '21 at 17:50
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How to search this site. – Sarvesh Ravichandran Iyer Nov 17 '21 at 17:50
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1Is $b$ an integer? Anyway, we have a polynomial equation $x^a+x-b=0$, which we can only solve numerically in general, for $a\ge 5$, see Galois theory. – Dietrich Burde Nov 17 '21 at 17:50
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$b$ does not have to be an integer. – Hau Nov 17 '21 at 17:51
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@TeresaLisbon Thank you, I'll check that out! – Hau Nov 17 '21 at 17:51
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@Hau You're welcome! – Sarvesh Ravichandran Iyer Nov 17 '21 at 17:52
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@DietrichBurde Yup, that answers it for me. Didn't know about Galois theory, but now I do. Thank you! – Hau Nov 17 '21 at 17:59