Matematika

Pertanyaan

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1 Jawaban

  • (x - 3)^2 + (y - 3)^2 = 9
    x^2 + y^2 = 9 => y^2 = 9-x^2
    y = V(9-x^2)
    (x -3)^2 + { V(9-x^2)- 3 }^2 = 9
    x^2-6x+9 + (9-x^2) -6V(9-x^2) + 9 = 9
    x^2-6x+9+9-x^2-6V(9-x^2) = 0
    -6x +18 -6V(9-x^2) = 0
    6x + 6V(9-x^2) = 18
    x + V(9-x^2) = 3
    (x + V(9-x^2) = 3
    (x + V(9-x^2)^2 = 3^2
    x^2 +2xV(9-x^2) + 9 - x^2 = 9
    2xV(9-x^2) = 0
    V(9-x^2) = 0
    9-x^2 = 0
    (3-x)(3+x) = 0
    x1 = 3 atau x2 = - 3
    y1 = V(9 -3^2) = 0
    y2 = V(9 - (-3)^2) = 0
    Jadi A = (-3, 0) dan B (3,0)
    Jarak AB = 3 - -3 = 6