Matematika

Pertanyaan

2x^-x-1=0 dengan cara melengkapkab kuadrat sempurna

1 Jawaban

  • Persamaan Kuadrat

    2x²- x - 1 = 0
    x² - (1/2)x - (1/2) = 0
    x² - (1/2)x = (1/2)
    x² - (1/2)x + (1/16) = (1/2) + (1/16)
    (x - 1/4)² = (9/16)
    x - 1/4 = ± √(9/16)
    x - 1/4 = 3/4 atau -3/4

    x - 1/4 = 3/4
    x = 3/4 + 1/4
    x = 1

    x -1/4 = -3/4
    x = -2/4
    x = -1/2

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