Matematika

Pertanyaan

Tolong dijawab segera
Tolong dijawab segera

1 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Eksponen dan Persamaan Kuadrat

    Pembahasan :
    1.

    [(3^1/2 - 5¯¹)/(5¯¹ - 3^1/2)]²
    = [-(5¯¹ - 3^1/2)/(5¯¹ - 3^1/2)]²
    = [-1]²
    = 1

    Jawaban : A

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    2.

    x² + (p - 4)x - p + 7 = 0

    Akar tidak nyata
    D < 0
    b² - 4ac < 0
    (P - 4)² - 4(1)(-p + 7) < 0
    P² - 8p + 16 + 4p - 28 < 0
    P² - 4p - 12 < 0
    (P - 6)(p + 2) < 0
    -2 < p < 6

    Jawaban : D

    ————————————————
    3.

    2x² + qx + (q - 1) = 0

    X1² X2 + X1 X2² = -5
    X1 . X2(X1 + X2) = -5
    (C/a)(-b/a) = -5
    (q - 1)/2 (-q/2) = -5
    (-q² + q)/4 = -5
    -q² + q = -20
    q² - q - 20 = 0
    (q - 5)(q + 4) = 0
    q = -4
    q = 5

    Jawaban : C