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solve by completing the square


please show work

  • math -

    x^2 - 2(3/2)x = 4
    x^2 - 2(3/2)x + (3/2)^2 = 4 + (3/2)^2
    (x-3/2)^2 = 25/4
    (x-3/2)^2 = (5/2)^2
    x - 3/2 = ±5/2
    x = 3/2 ± 5/2 = -1 or 4

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