Matematika

Pertanyaan

diketahui la+bl=2√19, jika lal=4 dan lbl=6 maka la+bl adalah...

1 Jawaban

  • |a + b| = 2√19
    |a + b|^2 = (2√19)^2
    |a|^2 + 2ab + |b|^2 = 4(19)
    4^2 + 2ab + 6^2 = 76
    16 + 2ab + 36 = 76
    2ab = 24

    |a - b|^2 = |a|^2 - 2ab + |b|^2
    |a - b|^2 = 4^2 - 24 + 6^2
    |a - b|^2 = 28
    |a - b| = √28 = 2√7

    ^ = pangkat

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