Wednesday, May 11, 2016

Menentukan Punca Persamaan Kuadratik Menggunakan Kaedah Pemfaktoran

Untuk menentukan punca persamaan kuadratik, kita menggunakan kaedah pemfaktoran (factorisation method), iaitu (x + p)(x + q) = 0 atau (mx + p)(nx + q) = 0.

Oleh kerana sesuatu persamaan kuadratik boleh difaktorkan sebagai hasil darab dua ungkapan linear (yang boleh disamakan dengan 0), maka persamaan itu selebih-lebihnya mempunyai dua punca.

Contoh 1

Selesaikan setiap yang berikut.

a) x2 = 7x

b) p2 6p 7 = 0

Penyelesaian:


Contoh 2

Selesaikan setiap yang berikut.

a) 2q2 + 7q + 6 = 0

b) 2r2 9r + 4 = 0

Penyelesaian:


Contoh 3

Selesaikan setiap yang berikut.

a) 6m2 22m 8 = 0

b) 7p 2 6p2 = 0

Penyelesaian:

15 comments:

  1. tolonglah berikan contoh utk, penyelesaian nombor yang ada per

    ReplyDelete
  2. Replies
    1. boleh tolong cari jalan penyelesaian tak untuk soalan berikut:
      katakan y=ax2+bx+c suatu persamaan kuadratik dengan sifat berikut:
      i) titik maksimum (-1,-1)
      ii)pintasan y = -2
      cari a,b dan c

      Delete
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  4. Replies
    1. a=1,b=7,c=12
      (4+x)(3+x)
      4+x=0 3+x=0
      x=-4 x=-3

      Delete
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