Matematika

Pertanyaan

1. Tentukan nilai x sehingga 4x≡6 (mod 18)
2. Tentukan sisa apabila 1⁵+2⁵+3⁵+.....10⁵ : 5

1 Jawaban

  • 4x ≡ 6 (mod 18)
    5.4x ≡ 5.6 (mod 18)
    2x ≡ 12 (mod 18)
    x ≡ 6 (mod 9)

    x = ..., -12, -3, 6, 15, 24, ...

    ==========

    1⁵ + 2⁵ + 3⁵ + ... + 10⁵ (mod 5) = (1 + 2 + 3 + 4 + 0) + (1 + 2 + 3 + 4 + 0) (mod 5)
    = 2(1 + 2 + 3 + 4) (mod 5)
    = 2(4) (mod 5)
    = 0

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