Matematika

Pertanyaan

( x + 1/2 )³ -x³ = 7/8

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  • ( x + 1/2 )³ - x³ = 7/8
    x
    ³ + 3/2x² + 3/4x + 1/8 - x³ = 7/8
    3/2x² + 3/4x + 1/8 = 7/8
    3/2x² + 3/4x = 6/8  (kedua ruas dikali 8)
    12x² + 6x = 6
    12x² + 6x - 6 = 0
    12x² + 12x - 6x - 6 = 0
    12x(x + 1) - 6(x + 1) = 0
    (12x - 6)(x + 1) = 0

    12x = 6
        x  = 2

    atau
    x = -1

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