Matematika

Pertanyaan

3 . 9^x + 9^(1-x) = 28. x1 + x2?

1 Jawaban

  • 3.9ˣ + 9¹⁻ˣ = 28
    3.9ˣ + 9¹.9⁻ˣ =28 ...kalikan 9ˣ
    3. 9ˣ .9ˣ + 9. 9⁻ˣ.9ˣ = 28. 9ˣ 
    3.9²ˣ + 9 - 28.9ˣ = 0
    misal 9ˣ = a
    3. a² - 28 a + 9 = 0
    (3a - 1)(a  - 9) = 0
    a = 1/3  atau a = 9
    ..
    9ˣ = 1/3  atau 9ˣ = 9
    3ˣ = 3⁻¹ atau x = 1
    x = -1 atau x = 1
    x₁ + x₂ = 0

    solution by DB45

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