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Bu videoda kvadrata tamamlamaqla

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tənlikləri həll etməyi göstərəcəyəm.

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Bu, kvadrat tənliklərin təməl formuludur,

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buna görə də bu üsul 
bütün kvadrat tənliklərdə

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işə yarayacaq.

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Növbəti videoda isə kvadrata tamamlamaqla

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kvadrat tənliyin formulunu isbat edəcəyəm.

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Amma bunu etməzdən əvvəl 
bütün bunların nə haqqında

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olduğunu anlamalıyıq.

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Deyək ki, x kvadratı çıx 4x

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bərabərdir 5.

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Bu boşluğu bura səbəbsiz yerə qoymadım.

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Son videoda gördük ki, əgər sol tərəf

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tam kvadrat olsaydı,

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bu tənliyi həll etmək çox asan olardı.

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Kvadrata tamamlamaq

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kvadrat tənliyin hər iki tərəfinə ifadə

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əlavə edib və ya çıxaraq 
tam kvadrat şəklində

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yazmaqdır.

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Bəs bunu necə edə bilərik?

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Sol tərəfin tam kvadrat olması üçün

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burada müəyyən bir ədəd olmalıdır.

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Elə bir ədəd tapmalıyam ki, kvadrata yüksəltdikdə

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buradakı ədəd, 2-ə vurduqda isə

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mənfi 4 alınsın.

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Bu qaydanı unutmayın, məncə bu

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bir neçə nümunə ilə daha da aydın olacaq.

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Deyək ki, x kvadratı çıx 4x üstəgəl 
müəyyən bir ifadə

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x çıx a-nın kvadratına bərabərdir.

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Hələ ki, a-nın neçə olduğunu
bilmirik, amma

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bildiklərimiz də var.

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Əgər bunu kvadrata yüksəltsək, x kvadratı

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çıx 2a üstəgəl a kvadratı alınar.

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Nümunəyə baxsaq, burada x kvadratı çıx 2ax

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olmalıdır, 2-ci hədd də 2ax-ə bərabərdir.

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3-cü hədd isə a kvadratı olmalıdır.

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Deməli, a mənfi 4-ün yarısı yəni,

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mənfi 2-ə bərabərdir.

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Çünki 2a mənfi 4-ə bərabərdir.

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a mənfi 2-ə bərabərdir, a mənfi 2-dirsə,
bəs a kvadratı neçədir?

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a kvadratı da müsbət 4-ə bərabər olar.

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Bütün bunlar sizə mürəkkəb görünə bilər,

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amma indi izahını göstərəcəm.

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Siz sadəcə buradakı əmsalın

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yarısını tapmalısınız.

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Bu əmsalın yarısı mənfi 2-dir.

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Deməli a mənfi 2-ə bərabərdir, sonra

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onu kvadrata yüksəltməliyik.

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2-ni kvadrata yüksəltsək, müsbət 4 alarıq.

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