Matematika

Pertanyaan

X²+4x-3=
4²+8x+3=
X²-3x+2=
Berapa y kak

1 Jawaban

  • Bagian pertama
    Ralat → x² + 4x + 3 bukan x² + 4x - 3

    = x² + 4x + 3
    = x² + 3x + x + 3
    = x(x + 3) + (x + 3)
    = (x + 1)(x + 3)

    Bagian kedua
    = 4x² + 8x + 3
    a = 4
    b = 8
    c = 3

    X1,2
    = -b ± √(b² - 4ac) / 2a
    = -8 ± √(8² - 4.4.3) / 2.4
    = -8 ± √64 - 48) / 8
    = -8 ± √16 / 8
    = -8 ± 4 / 8

    X1 = (-8 + 4) / 8
    X1 = -4 / 8
    X1 = - ½ → (2x + 1)

    X2 = (-8 - 4) / 8
    X2 = -12 / 8
    X2 = - 3/2 → (2x + 3)

    = 4x² + 8x + 3
    = (2x + 1)(2x + 3)

    Nomor terakhir
    = x² - 3x + 2
    = x² - 2x - x + 2
    = x(x - 2) - (x - 2)
    = (x - 1)(x - 2)

    Semoga berguna +_+

Pertanyaan Lainnya