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/sci/ - Science & Math


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8818215 No.8818215[DELETED]  [Reply] [Original]

Post mathematics problems you've struggled with.

>> No.8818219

>>8818215
this is a blue board you dumb fuck

>> No.8818221
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8818221

Let [math] n [/math] be an odd integer [math] >2 [/math] and let [math] f(x)\in \mathbb{Q}[x] [/math] be an irreducible polynomial of degree [math] n [/math] such that the Galois group [math] Gal(f/\mathbb{Q}) [/math] is isomorphic to the dihedral group [math] D_n [/math] of order [math] 2n [/math]. Let [math] \alpha [/math] be a real root of [math] f(x) [/math]. Prove [math] \alpha [/math] can be expressed by real radicals if and only if every prime divisor of [math] n [/math] is a Fermat prime.

>> No.8818223

2+2=n

n=????

>> No.8818225

>>8818215
You know this thread is going to be deleted just because of the image you posted, right?