Matematika

Pertanyaan

Jawabannya apa ya? Mohon bantuanya.
Jawabannya apa ya? Mohon bantuanya.

1 Jawaban

  • Misal
    a = 2^x dan b = 2^-x
    ab = 2^x . 2^-x = 2^0 = 1

    4^x + 4^-x = 7
    (2^x)^2 + (2^-x)^2 = 7
    a^2 + b^2 = 7
    (a + b)^2 - 2ab = 7
    (a + b)^2 - 2(1) = 7
    (a + b)^2 = 9
    (a + b) = 3

    8^x + 8^-x = (2^x)^3 + (2^-x)^3
    = a^3 + b^3
    = (a + b)^3 - 2ab(a + b)
    = (3)^3 - 3(1)(3)
    = 27 - 9
    = 18