Matematika

Pertanyaan

Xkuadrat-y=5
2x+y=3
Tolong bantu ya

1 Jawaban

  • 2x + y = 3
    y = -2x + 3

    x^2 - y = 5
    x^2 - (-2x + 3) = 5
    x^2 + 2x - 3 = 5
    x^2 + 2x - 3 - 5 = 0
    x^2 + 2x - 8 = 0
    (x + 4)(x - 2) = 0
    x + 4 = 0 atau x - 2 = 0
    x = -4 atau x = 2

    x = -4 => 2x + y = 3
    ...........=> 2(-4) + y = 3
    ...........=> -8 + y = 3
    ...........=> y = 3 + 8
    ...........=> y = 11
    (-4 , 11)

    x = 2 => 2x + y = 3
    ..........=> 2(2) + y = 3
    ..........=> 4 + y = 3
    ..........=> y = 3 - 4
    ..........=> y = -1
    (2 , -1)

    Jadi HP nya adalah {(-4 , 11) dan (2 , -1)}

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