Matematika

Pertanyaan

Pliss bantuu...fastt!

(3p^)^ + (4p^)^
--------------------- = 80
(3p)^ - (2p)^

Maka nilai p^ =?



Keterangan: ^=kuadrat

1 Jawaban

  • (3p²)² + (4p²)²
    --------------------- = 80
    (3p)² - (2p)²

    3².p^(2×2) + 4².p^(2×2)
    --------------------------------- = 80
    3².p² - 2².p²

    9.p⁴ + 16.p⁴
    ----------------- = 80
    9.p² - 4.p²

    (9 + 16)p⁴
    -------------- = 80
    (9 - 4)p²

    25p⁴
    --------- = 80
    5p²

    (25/5)(p⁴/p²) = 80
    5p² = 80
    p² = 80/5
    p² = 16
    p = √16
    p = 4 atau p = -4

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