Matematika

Pertanyaan

persamaan garis singgung (y + 3)^ = -4(x +1) di titik berabsis -5 adalah

1 Jawaban

  • (y+3)² = -4(x+1)
    (y+3)² = -4(-4)
    (y+3)² = 16
    y²+6y++9-16 = 0
    y²+6y-7 = 0
    (y+7)(y-1) = 0
    y = -7 atau y = 1

    y=-7
    (-5,-7)
    (y+3)(-7+3) = -2x-2(-5)-4
    (y+3)(-4) = -2x+6
    -4y-12 = -2x+6
    2x-4y-18 = 0
    x-2y-9 = 0

    y = 1
    (-5,1)
    (y+3)(1+3) = -2x-2(-5)-4
    (y+3)(4) = -2x+6
    4y+12 = -2x+6
    2x+4y+6 = 0
    x+2y+3 = 0

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