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:

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15 comments:

  1. AnonymousJanuary 29, 2018 at 9:53 PM

    tolonglah berikan contoh utk, penyelesaian nombor yang ada per

    ReplyDelete
  2. UnknownFebruary 18, 2018 at 7:30 PM

    Tq,I love addmath😍

    ReplyDelete
    Replies
    1. UnknownJune 6, 2018 at 3:30 PM

      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
  3. UnknownMay 2, 2018 at 5:14 PM

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  4. UnknownApril 26, 2020 at 9:53 AM

    cam mane dgn x² + 7x+ 12 = 0

    ReplyDelete
    Replies
    1. UnknownSeptember 9, 2020 at 9:33 PM

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

      Delete
  5. UnknownAugust 29, 2020 at 9:10 AM

    （x－1）²=25

    ReplyDelete
  6. UnknownDecember 6, 2020 at 1:23 PM

    How about 4(x-2)²=10-5x

    ReplyDelete
  7. SorensonDecember 11, 2020 at 4:21 AM

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  8. UnknownMay 23, 2021 at 8:29 PM

    I didnt understand

    ReplyDelete
  9. UnknownJune 14, 2021 at 5:59 AM

    2x²-3x-2 ?

    ReplyDelete
  10. UnknownJuly 1, 2021 at 10:32 AM

    4-p²=0

    ReplyDelete
  11. UnknownSeptember 28, 2021 at 8:29 AM

    2x(2x+1)=3x+5

    ReplyDelete
  12. MiApril 2, 2023 at 3:26 PM

    Xkuasa 2- 3x - 10=0

    ReplyDelete
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