Abel–Ruffini theorem

theorem that a generic equation of degree 5 or higher cannot be solved by radicals
rdfs:label
"Abel–Ruffini theorem"@en
skos:altLabel
"teorema de la imposibilidad de Abel"@es
schema:description
"theorem that a generic equation of degree 5 or higher cannot be solved by radicals"@en
schema:dateModified "2026-09-06T17:40:27+00:00"^^xsd:dateTime
schema:version 2541223418
wikibase:identifiers 4
wikibase:sitelinks 25
wikibase:statements 13
p:P138 wd:statement/q657482-E538DE90-24F5-4F6D-A34A-567BC449B65A
wd:statement/q657482-E5A4BA7F-E81E-4ADF-99B5-85D69ECB8403
p:P2384 wd:statement/Q657482-4bd8f689-4978-2f13-f4bd-0c28a043212b
wd:statement/Q657482-7d752f71-4c67-847c-53cb-e8828d409124
p:P2534 wd:statement/Q657482-d082acc1-4279-a798-6e76-24e58a77523f
p:P2579 wd:statement/Q657482-29e6f31c-403a-814a-b291-9fb04a3b42a8
p:P2812 wd:statement/Q657482-DD0964F7-6F6C-4AA2-9F0A-D113D7AB7FBA
p:P31 wd:statement/Q657482-7d43b773-4e6d-3ec0-3b70-5f8e2001f344
p:P361 wd:statement/Q657482-A57BDC90-3109-445C-944A-C7FB0D0CE181
p:P6104 wd:statement/Q657482-6D971E2A-FF3D-4D40-A2CD-3C04F1031D78
p:P6366 wd:statement/Q657482-4D3E8D7E-0610-4616-8F8F-5DABF0C49946
p:P646 wd:statement/Q657482-681F2949-D90F-49F6-A051-A3FDC487ECEE
p:P9621 wd:statement/Q657482-3226FFB1-A141-4BCC-B925-3754D40684E9
p:direct-normalized/P6366 <https://makg.org/entity/13251922>
wdt:P138 Abel
Paolo Ruffini
wdt:P2384 solution in radicals
quintic equation
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2212;</mo><mi>b</mi><mo stretchy="false">&#x00B1;</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">&#x2212;</mo><mn>4</mn><mi>a</mi><mi>c</mi><mtext>&#160;</mtext></mrow></msqrt></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>a</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 Galois theory
wdt:P2812 "AbelsImpossibilityTheorem"
wdt:P31 theorem
wdt:P361 list of theorems
wdt:P6104 WikiProject Mathematics
wdt:P6366 "13251922"
wdt:P646 "/m/013wnr"
wdt:P9621 "teorema-di-abel-ruffini"
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