Please focus on the concept to solve this problem, because I can't handle to research on difficult terminology. Thanks in advance.
Find all real roots by Galois theory and find all other root to this equation: $x^8+x^6+x^4=340$
2026-04-24 18:22:09.1777054929
How to solve this by Galois theory?
218 Views Asked by Ross James https://math.techqa.club/user/ross-james/detail At
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There are 1 best solutions below
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If we can solve $$u^4+u^3+u^2=340$$ then by letting $u=x^2$ we can solve the original equation. But the displayed equation is of degree 4, and there is a formula for solving those. Just search for "quartic formula".
I'm sorry that this doesn't use Galois Theory, but I don't see what Galois Thoery can do for this problem.