Matematika

Pertanyaan

Bantu soal nomor 15 dong,makasih.
Bantu soal nomor 15 dong,makasih.

1 Jawaban

  • 3y = xy(2 - x) + x(x - 6)
    3y = 2xy - yx² + x² - 6x
    x² - yx² + 2xy - 6x - 3y = 0
    (1-y)x² + (2y-6)x - 3y = 0
    syarat real D ≥ 0
    b² - 4ac ≥ 0
    (2y-6)² - 4(1-y)(-3y) ≥ 0
    4y² - 24y + 36 + 12y - 12y² ≥ 0
    -8y² - 12y + 36 ≥ 0
    ----------------------- ÷ -4
    2y² + 3y - 9 ≤ 0
    (2y - 3)(y + 3) ≤ 0
    -3 ≤ y ≤ 3/2