Matematika

Pertanyaan

jawab yah,pakai cranya
jawab yah,pakai cranya

1 Jawaban

  • Persamaan Eksponen
    [tex] (2x^2 - 3x - 3)^{x + 2} = (2x^2-3x-3)^{2x + 5} [/tex]

    1.)
    x + 2 = 2x + 5
    -x = 3
    x = -3

    2.)
    2x² - 3x - 3 = 1
    2x² - 3x - 4 = 0
    a = 2 , b = -3 , c = -4

    D = b² - 4ac
    D = (-3)² - 4(2)(-4) = 41

    [tex] x_{1,2} = \frac{-b \pm \sqrt{D}}{2a} \\
    x_{1,2} = \frac{3 \pm \sqrt{41}}{4} \\
    x = \frac{3 + \sqrt{41}}{4} \ atau \ x = \frac{3 - \sqrt{41}}{4} [/tex]

    3.)
    2x² - 3x - 3 = 0
    a = 2 , b = -3 , c = -3

    D = b² - 4ac
    D = (-3)² - 4(2)(-3) = 33

    [tex] x_{1,2} = \frac{-b \pm \sqrt{D}}{2a} \\
    x_{1,2} = \frac{3 \pm \sqrt{33}}{4} \\
    x = \frac{3 + \sqrt{33}}{4} \ atau \ x = \frac{3 - \sqrt{33}}{4} [/tex]

    Jawaban : B