{"id":1146,"date":"2011-06-14T11:13:14","date_gmt":"2011-06-14T08:13:14","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=1146"},"modified":"2011-06-14T11:13:14","modified_gmt":"2011-06-14T08:13:14","slug":"denklemler","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/denklemler\/","title":{"rendered":"Denklemler"},"content":{"rendered":"<p>A. TANIM<\/p>\n<p>a ve b ger\u00e7ek (reel) say\u0131lar ve a \u00b9 0 olmak \u00fczere,<\/p>\n<p>ax + b = 0 e\u015fitli\u011fine birinci dereceden bir bilinmeyenli denklem denir.<\/p>\n<p>Bu denklemi sa\u011flayan x de\u011ferine denklemin k\u00f6k\u00fc, denklemin k\u00f6k\u00fcn\u00fcn olu\u015fturdu\u011fu k\u00fcmeye denklemin \u00e7\u00f6z\u00fcm k\u00fcmesi denir.<\/p>\n<p>B. E\u015e\u0130TL\u0130\u011e\u0130N \u00d6ZEL\u0130KLER\u0130<\/p>\n<p>  1.<br \/>\n  2. a = b ise, a . c = b . c dir.<br \/>\n  3. a = b ise,<br \/>\n  4. a = b ise, an = bn dir.<br \/>\n  5. (a = b ve b = c) ise, a = c dir.<br \/>\n  6. (a = b ve c = d) ise,<br \/>\n  7. (a = b ve c = d) ise, a . c = b . d dir.<br \/>\n  8. (a = b ve c = d)  ise,<br \/>\n  9. a . b = 0 ise, (a = 0 veya b = 0) d\u0131r.<br \/>\n10. a . b \u00b9 0 ise, (a \u00b9 0 ve b \u00b9 0) d\u0131r.<br \/>\n11.    ise, (a = 0 ve b \u00b9 0) d\u0131r.<\/p>\n<p>II. B\u0130R\u0130NC\u0130 DERECEDEN \u0130K\u0130 B\u0130L\u0130NMEYENL\u0130 DENKLEMLER<br \/>\nA. TANIM<\/p>\n<p>a, b, c \u00ce R, a \u00b9 0 ve b \u00b9 0 olmak \u00fczere,<\/p>\n<p>ax + by + c = 0 denklemine birinci dereceden iki bilinmeyenli denklem denir.<\/p>\n<p>Bu denklem d\u00fczlemde bir do\u011fru belirtir. Do\u011fru \u00fczerindeki b\u00fct\u00fcn noktalar\u0131n olu\u015fturdu\u011fu ikililer denklemin \u00e7\u00f6z\u00fcm k\u00fcmesidir.<\/p>\n<p>Buna g\u00f6re, ax + by + c = 0 denkleminin \u00e7\u00f6z\u00fcm k\u00fcmesi bir\u00e7ok ikiliden olu\u015fur.<\/p>\n<p>Birden fazla iki bilinmeyenli denklemden olu\u015fan sisteme denklem sistemi denir.<\/p>\n<p> B. \u00c7\u00d6Z\u00dcM K\u00dcMES\u0130N\u0130N BULUNMASI<\/p>\n<p>Birinci dereceden iki bilinmeyenli denklem sistemlerinin \u00e7\u00f6z\u00fcm k\u00fcmesi; yok etme y\u00f6ntemi, yerine koyma y\u00f6ntemi, kar\u015f\u0131la\u015ft\u0131rma y\u00f6ntemi gibi y\u00f6ntemlerden biri ile yap\u0131l\u0131r.<\/p>\n<p> 1. Yok Etme Y\u00f6ntemi<\/p>\n<p>De\u011fi\u015fkenlerden biri yok edilecek bi\u00e7imde verilen denklem sistemi d\u00fczenlenir ve taraf tarafa toplan\u0131r.<\/p>\n<p>Taraf tarafa topland\u0131\u011f\u0131nda veya \u00e7\u0131kar\u0131ld\u0131\u011f\u0131nda (ya da bir d\u00fczenlemeden sonra) de\u011fi\u015fkenlerden biri sadele\u015fiyorsa \u201cYok etme y\u00f6ntemi\u201d kolayl\u0131k sa\u011flar.<\/p>\n<p> 2. Yerine Koyma Y\u00f6ntemi<\/p>\n<p>Verilen denklemlerin birinden, de\u011fi\u015fkenlerden biri \u00e7ekilip di\u011fer denklemde yerine yaz\u0131larak sonuca gidilir.<\/p>\n<p>Denklemlerin birinden, de\u011fi\u015fkenlerden biri kolayca \u00e7ekilebiliyorsa, \u201cYerine koyma y\u00f6ntemi\u201d kolayl\u0131k sa\u011flar.<\/p>\n<p> 3. Kar\u015f\u0131la\u015ft\u0131rma Y\u00f6ntemi<\/p>\n<p>Verilen denklemlerin ikisinden de ayn\u0131 de\u011fi\u015fken \u00e7ekilir. Denklemlerin di\u011fer taraflar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r (e\u015fitlenir).<\/p>\n<p>Her iki denklemden de ayn\u0131 de\u011fi\u015fken kolayca \u00e7ekilebiliyorsa, \u201cKar\u015f\u0131la\u015ft\u0131rma y\u00f6ntemi\u201d kolayl\u0131k sa\u011flar<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A. TANIM a ve b ger\u00e7ek (reel) say\u0131lar ve a \u00b9 0 olmak \u00fczere, ax + b = 0 e\u015fitli\u011fine birinci dereceden bir bilinmeyenli denklem denir. Bu denklemi sa\u011flayan x de\u011ferine denklemin k\u00f6k\u00fc, denklemin k\u00f6k\u00fcn\u00fcn olu\u015fturdu\u011fu k\u00fcmeye denklemin \u00e7\u00f6z\u00fcm k\u00fcmesi denir. B. E\u015e\u0130TL\u0130\u011e\u0130N \u00d6ZEL\u0130KLER\u0130 1. 2. a = b ise, a . c = b &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[3391,3390,2782],"class_list":["post-1146","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-cozum-kumesi","tag-denklemler","tag-reel-sayilar"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/1146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=1146"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/1146\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=1146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=1146"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=1146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}