Matematika

Pertanyaan

[a] = √3
[b] = 1
dan [a-b] = 1
Tentukan a + b =........

1 Jawaban

  • jika |a| = √3, |b| = 1 dan |a - b| = 1

    maka |a - b|² = (a - b)(a - b) = 1
    |a|² - 2a•b + |b|² = 1
    3 - 2a•b + 1 = 1
    a•b = 2 ✔️

    |a + b|² = (a + b)(a + b)
    = |a|² + 2a•b + |b|²
    = 3 + 2 + 1
    = 6 ✔️

    maka (a + b) = √6 ✔️

    semoga jelas dan membantu

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