Matematika

Pertanyaan

tolong kerjakan teman2ku yg baik
tolong kerjakan teman2ku yg baik

1 Jawaban

  • f(x) = 4x⁴ + 2x³ - 6x² + px + q

    f(-3) = -5
    4(-3)⁴ + 2(-3)³ - 6(-3)² + p(-3) + q = -5
    4(81) + 2(-27) - 6(9) + p(-3) + q = -5
    324 - 54 - 54 - 3p + q = -5
    216 - 3p + q = -5
    -3p + q = -5 - 216
    -3p + q = -221 .......................(1)

    f(2) = 2
    4(2)⁴ + 2(2)³ - 6(2)² + p(2) + q = 2
    4(16) + 2(8) - 6(4) + p(2) + q = 2
    64 + 16 - 24 + 2p + q = 2
    56 + 2p + q = 2
    2p + q = 2 - 56
    2p + q = -54 ...........(2)

    Eliminasi
    -3p + q = -221
    2p + q = -54
    ----------------------- -
    -5p = -167
    p = 33,4

    2p + q = -54
    2(33,4) + q = -54
    66,8 + q = -54
    q = -54 - 66,8
    q = -120,8

    p - q = 33,4 - (-120,8)
            = 33,4 + 120,8
            = 154,2