Matematika

Pertanyaan

Titik potong kurva parabol y = x(x-6) dengan kurva y = x(x-3)(x-6)

1 Jawaban

  • y = x(x - 6) = x² - 6x
    y = x(x - 3)(x - 6) = x(x²-9x+18) = x³-9x²+18x
    x³-9x²+18x = x²-6x
    x³-10x²+24x = 0
    x(x²-10x+24) = 0
    x(x-6)(x-4) = 0
    x = 0
    y = 0(0-6) = 0
    x = 6
    y = 6(6-6) = 0
    x = 4
    y = 4(4-6) = -8
    titik potong (0,0),(6,0),(4,-8)

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