Matematika

Pertanyaan

2x²-7x+3=0 menggunakan rumus abc

2 Jawaban

  • x = (-b +- √(b²-4ac)) / 2a
    ===========================
    2x²-7x+3=0
    a = 2
    b = -7
    c = 3

    x
    ₁ = (7 + √(7² - 4(2)(3))) / 2(2)
        = (7 + √(49 - 24)) / 4
        = (7 + √25) / 4
        = (7+5) / 4
        = 12/4
        = 3

    x₂ = (7 - √(7² - 4(2)(3))) / 2(2)
        = (7 - √(49 - 24)) / 4
        = (7 - √25) / 4
        = (7-5) / 4
        = 2/4
        = 1/2


  • 2x²-7x+3 = (2x - 1) (2x - 6)
    = ((2x - 1) 2 (x -3)) : 2
    =(2x-1) (x-3)
    2x-1=0-> x=1/2
    x-3=0-> x=3
    Hp={1/2,3}

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