{"id":38167,"date":"2026-09-20T05:12:39","date_gmt":"2026-09-20T03:12:39","guid":{"rendered":"https:\/\/xmau.com\/notiziole\/?p=38167"},"modified":"2026-09-17T17:02:31","modified_gmt":"2026-09-17T15:02:31","slug":"quizzino-della-domenica-trinomio","status":"publish","type":"post","link":"https:\/\/xmau.com\/notiziole\/2026\/09\/20\/quizzino-della-domenica-trinomio\/","title":{"rendered":"Quizzino della domenica: Trinomio"},"content":{"rendered":"<p style=\"text-align: right; font-size: x-small; font-weight: bold; font-color: white;\">818 &#8211; algebra<\/p>\n<p>Se <i>a<\/i><sup>2<\/sup> + <i>a<\/i> + 1 = 0. quanto vale <i>a<\/i><sup>2027<\/sup> + <i>a<\/i> + 1?<br \/>\n<img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/xmau.com\/notiziole\/wp-content\/uploads\/sites\/6\/2026\/09\/q818a.png?resize=461%2C107&#038;ssl=1\" alt=\"a^2027+a+1\" width=\"461\" height=\"107\" class=\"aligncenter size-full wp-image-38238\" srcset=\"https:\/\/i0.wp.com\/xmau.com\/notiziole\/wp-content\/uploads\/sites\/6\/2026\/09\/q818a.png?w=461&amp;ssl=1 461w, https:\/\/i0.wp.com\/xmau.com\/notiziole\/wp-content\/uploads\/sites\/6\/2026\/09\/q818a.png?resize=300%2C70&amp;ssl=1 300w\" sizes=\"auto, (max-width: 461px) 100vw, 461px\" \/><br \/>\n<!-- Scrivete a^2+a+1 come un rapporto --><br \/>\n<small>(trovate un aiutino sul mio sito, alla pagina <a href=\"https:\/\/xmau.com\/quizzini\/p818.html\">https:\/\/xmau.com\/quizzini\/p818.html<\/a>; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema <a href=\"https:\/\/x.com\/ai_meh_s\/status\/2096860723208990728\">da Twitter<\/a>.)<\/small><br \/>\n<!-- Sappiamo che <i>a<\/i><sup>2<\/sup> + <i>a<\/i> + 1 = (<i>a<\/i><sup>3<\/sup>  &minus; 1)\/(<i>a<\/i> &minus; 1). Poich\u00e9 (<i>a<\/i> &minus; 1) \u00e8 diverso da 0 possiamo dire che <i>a<\/i><sup>3<\/sup> = 1. Pertanto <i>a<\/i><sup>2027<\/sup> + <i>a<\/i> + 1 = <i>a<\/i><sup>(3\u00d7675 + 2)<\/sup> + <i>a<\/i> + 1 = <i>a<\/i><sup>2<\/sup> + <i>a<\/i> + 1 = 0. --><br \/>\n<!-- Passare al rapporto \u00e8 un bel colpo. --><span hidden class=\"__iawmlf-post-loop-links\" data-iawmlf-links=\"[{&quot;id&quot;:333,&quot;href&quot;:&quot;https:\\\/\\\/xmau.com\\\/quizzini\\\/p818.html&quot;,&quot;archived_href&quot;:&quot;&quot;,&quot;redirect_href&quot;:&quot;&quot;,&quot;checks&quot;:[],&quot;broken&quot;:false,&quot;last_checked&quot;:null,&quot;process&quot;:&quot;done&quot;},{&quot;id&quot;:334,&quot;href&quot;:&quot;https:\\\/\\\/x.com\\\/ai_meh_s\\\/status\\\/2096860723208990728&quot;,&quot;archived_href&quot;:&quot;&quot;,&quot;redirect_href&quot;:&quot;&quot;,&quot;checks&quot;:[],&quot;broken&quot;:false,&quot;last_checked&quot;:null,&quot;process&quot;:&quot;done&quot;}]\"><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Non lasciatevi prendere dallo sconforto per quell&#8217;esponente<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"no","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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niente quizzino, ma&#8230;","author":".mau.","date":"2018-04-01","format":false,"excerpt":"... ne trovate cinque sul Post :-) Buona Pasqua!","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9134,"url":"https:\/\/xmau.com\/notiziole\/2013\/01\/06\/quizzino-questione-ordine\/","url_meta":{"origin":38167,"position":1},"title":"Quizzino della domenica: Questione di ordine","author":".mau.","date":"2013-01-06","format":false,"excerpt":"(il quizzino di oggi \u00e8 davvero facile, iniziamo l'anno in discesa) Siete capaci a ottenere 100 facendo una somma e usando le cifre da 1 a 7 in quest'ordine preciso? (un aiutino lo trovate sul mio sito, alla pagina http:\/\/xmau.com\/quizzini\/p073.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec.)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9070,"url":"https:\/\/xmau.com\/notiziole\/2012\/11\/25\/quizzino-strane-divisioni\/","url_meta":{"origin":38167,"position":2},"title":"Quizzino della domenica: Strane divisioni","author":".mau.","date":"2012-11-25","format":false,"excerpt":"Mostrate come la met\u00e0 di dodici \u00e8 sette. (un aiutino lo trovate sul mio sito, alla pagina http:\/\/xmau.com\/quizzini\/p067.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec.)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":29074,"url":"https:\/\/xmau.com\/notiziole\/2024\/06\/09\/quizzino-della-domenica-frazione-continua\/","url_meta":{"origin":38167,"position":3},"title":"Quizzino della domenica: Frazione continua","author":".mau.","date":"2024-06-09","format":false,"excerpt":"Se sapete che $\\frac{17}{10} = 1 + \\frac{1}{a + \\frac{1}{b + \\frac{1}{c}}}$, quanto valgono $a, b, c$? (trovate un aiutino sul mio sito, alla pagina https:\/\/xmau.com\/quizzini\/p699.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema da Mind Your Decisions.)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/xmau.com\/notiziole\/wp-content\/uploads\/sites\/6\/2024\/06\/q699a.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":32961,"url":"https:\/\/xmau.com\/notiziole\/2025\/08\/10\/quizzino-della-domenica-somme-di-logaritmi\/","url_meta":{"origin":38167,"position":4},"title":"Quizzino della domenica: Somme di logaritmi","author":".mau.","date":"2025-08-10","format":false,"excerpt":"760 - algebra Quanto vale (1\/log2 100!) + (1\/log3 100!) + ... + (1\/log100 100!)? (trovate un aiutino sul mio sito, alla pagina https:\/\/xmau.com\/quizzini\/p760.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema #12 dell'ASHME 1998)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"1\/log_k(100)","src":"https:\/\/i0.wp.com\/xmau.com\/notiziole\/wp-content\/uploads\/sites\/6\/2025\/06\/q760a.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":15261,"url":"https:\/\/xmau.com\/notiziole\/2017\/09\/03\/quizzino-della-domenica-fattoriali\/","url_meta":{"origin":38167,"position":5},"title":"Quizzino della domenica: fattoriali","author":".mau.","date":"2017-09-03","format":false,"excerpt":"Qual \u00e8 l'ultima cifra del numero che si ottiene sommando i fattoriali da 1 a 100? (un aiutino lo trovate sul mio sito, alla pagina http:\/\/xmau.com\/quizzini\/p267.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema di R.P. Cross, citato in Futility Closet)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/posts\/38167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/comments?post=38167"}],"version-history":[{"count":3,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/posts\/38167\/revisions"}],"predecessor-version":[{"id":38240,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/posts\/38167\/revisions\/38240"}],"wp:attachment":[{"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/media?parent=38167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/categories?post=38167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xmau.com\/notiziole\/wp-json\/wp\/v2\/tags?post=38167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}