Matematika

Pertanyaan

tolong bantu nomor 28 makasi
tolong bantu nomor 28 makasi

1 Jawaban

  • (x - a)^2 => x = a, x = a
    x^4 - 6ax^3 + 8a^2 x^2 - ma^3 x+ na^4

    a | 1 .... -6a ........ 8a^2 ............ -ma^3 ............ na^4
    ...| ....... a ............ -5a^2 .......... 3a^3 ............... (3 - m)a^4
    ---------------------------------------------------------------------------- +
    a | 1 ..... -5a ...... 3a^2 ............ (3 - m)a^3 ..|.. (n + 3 - m)a^4 = 0
    ... | ....... a ......... -4a^2 ........... -a^3
    ------------------------------------------------------- +
    ..... 1 ..... -4a ...... -a^2 .......|... (3 - m - 1)a^3 = 0 => (2 - m)a^3 = 0 => 2 - m = 0
    => m = 2

    (n + 3 - m)a^4 = 0
    (n + 3 - 2) = 0
    n + 1 = 0 => n = -1

    m + n = 2 + (-1) = 1