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Eğitmen, öğrencilere yönelik olarak üçüncü dereceden denklemler ve kökler konusunu ele almaktadır.","Videoda üç farklı matematik sorusu çözülmektedir. İlk soru, üçüncü dereceden bir denklemin köklerinin küplerinin toplamını bulmayı içermektedir. İkinci soru, kökleri tam sayı olan bir denklemin katsayılarının farklı değerlerini bulmayı, üçüncü soru ise sadece bir kökü belirli bir aralıkta olan bir denklemin katsayılarının farklı değerlerini bulmayı konu almaktadır. Her soru için adım adım çözüm yöntemi gösterilmekte ve gerekli formüller açıklanmaktadır."]},"endTime":585,"title":"Matematik Soru Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Üçüncü Dereceden Denklemlerin Kökleri","list":{"type":"unordered","items":["Üçüncü dereceden denklemlerin kökleri x₁, x₂ ve x₃ olmak üzere, köklerin çarpımı -d/a, toplamı -b/a ve iki köklerin çarpımı c/a formülleriyle bulunur.","x³ - 2x + 4 denkleminin kökleri x₁, x₂ ve x₃ ise, x₁³ + x₂³ + x₃³ toplamı -12 olarak hesaplanır."]},"beginTime":1,"endTime":177,"href":"/video/preview/6788537018396191292?parent-reqid=1774618728990836-11849488229846381479-balancer-l7leveler-kubr-yp-vla-119-BAL&text=Matnetik+Akademi&t=1&ask_summarization=1"},{"index":1,"title":"Köklerin Tam Sayı Olması","list":{"type":"unordered","items":["x² + ax + 4a denkleminin kökleri tam sayı ise, a gerçel sayısı 10 farklı değer alabilir.","Kökler çarpımı ve toplamı formülleri kullanılarak x₁ = (4 + 16/x₂-4) şeklinde ifade 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