{"id":70077,"date":"2025-11-26T18:50:58","date_gmt":"2025-11-26T18:50:58","guid":{"rendered":"https:\/\/www.omahbse.com\/blog\/?p=70077"},"modified":"2025-11-26T18:50:58","modified_gmt":"2025-11-26T18:50:58","slug":"bagaimana-cara-menghitung-diskriminan-dalam-persamaan-kuadrat","status":"publish","type":"post","link":"https:\/\/www.omahbse.com\/blog\/bagaimana-cara-menghitung-diskriminan-dalam-persamaan-kuadrat\/","title":{"rendered":"Bagaimana cara menghitung diskriminan dalam persamaan kuadrat?"},"content":{"rendered":"

Penjelasan dan Jawaban<\/h2>\n

Persamaan kuadrat adalah persamaan matematika dalam bentuk ax^2 + bx + c = 0, di mana a, b, dan c merupakan koefisien bilangan real, dan a \u2260 0. Untuk menghitung diskriminan (D) dalam persamaan kuadrat tersebut, kita menggunakan rumus D = b^2 – 4ac. Diskriminan digunakan untuk menentukan jenis akar persamaan kuadrat tersebut, apakah memiliki akar real atau non-real, serta banyak atau sedikit akar.<\/p>\n

Langkah-langkah menghitung diskriminan dalam persamaan kuadrat:<\/p>\n

    \n
  1. Identifikasi nilai a, b, dan c pada persamaan kuadrat.<\/li>\n
  2. Kalikan nilai b dengan dirinya sendiri (b^2).<\/li>\n
  3. Kalikan nilai a dengan nilai c (ac).<\/li>\n
  4. Kurangi hasil perkalian b^2 dengan 4ac (b^2 – 4ac).<\/li>\n<\/ol>\n

    Contoh: Misalkan kita memiliki persamaan kuadrat 2x^2 + 5x – 3 = 0.<\/p>\n

    Dalam hal ini, a = 2, b = 5, dan c = -3.<\/p>\n

    Langkah-langkah untuk menghitung diskriminan:<\/p>\n

      \n
    1. b^2 = 5^2 = 25<\/li>\n
    2. ac = 2 * -3 = -6<\/li>\n
    3. D = b^2 – 4ac = 25 – 4(-6) = 25 + 24 = 49<\/li>\n<\/ol>\n

      Jadi, diskriminan persamaan kuadrat 2x^2 + 5x – 3 = 0 adalah 49.<\/p>\n

      Kesimpulan<\/h2>\n

      Diskriminan dalam persamaan kuadrat dapat dihitung menggunakan rumus D = b^2 – 4ac, dengan a, b, dan c adalah koefisien persamaan kuadrat. Hasil diskriminan memberikan informasi mengenai jenis akar dari persamaan kuadrat tersebut. Jika D > 0, persamaan kuadrat memiliki dua akar real berbeda. Jika D = 0, persamaan kuadrat memiliki dua akar real yang sama. Jika D < 0, persamaan kuadrat memiliki dua akar kompleks (non-real).<\/p>\n","protected":false},"excerpt":{"rendered":"

      Penjelasan dan Jawaban Persamaan kuadrat adalah persamaan matematika dalam bentuk ax^2 + bx + c = 0, di mana a, b, dan c merupakan koefisien bilangan real, dan a \u2260 0. Untuk menghitung diskriminan (D) dalam persamaan kuadrat tersebut, kita menggunakan rumus D = b^2 – 4ac. Diskriminan digunakan untuk menentukan jenis akar persamaan kuadrat […]<\/p>\n","protected":false},"author":1,"featured_media":70075,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[302,1992,1976,1988],"tags":[],"class_list":{"0":"post-70077","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematika","8":"category-matematika-smp","9":"category-sekolah","10":"category-smp"},"yoast_head":"\nBagaimana cara menghitung diskriminan dalam persamaan kuadrat? - OmahBSE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.omahbse.com\/blog\/bagaimana-cara-menghitung-diskriminan-dalam-persamaan-kuadrat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bagaimana cara menghitung diskriminan dalam persamaan kuadrat? - OmahBSE\" \/>\n<meta property=\"og:description\" content=\"Penjelasan dan Jawaban Persamaan kuadrat adalah persamaan matematika dalam bentuk ax^2 + bx + c = 0, di mana a, b, dan c merupakan koefisien bilangan real, dan a \u2260 0. Untuk menghitung diskriminan (D) dalam persamaan kuadrat tersebut, kita menggunakan rumus D = b^2 – 4ac. 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