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23 August, 12:49

Use the "complete the square" method to rewrite the equation ax 2 + bx + c = 0 in the form (x - p) 2 = q.

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  1. 23 August, 13:03
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    Ax2 + bx + c = 0 = a (x+d) ^2 + e = 0
  2. 23 August, 13:06
    0
    X^2 + (b/a) x + c/a = 0

    x^2 + (b/a) x + c/a = 0

    x^2 + 2 (b/a) x + c/a - b/a = 0

    x^2 + 2 (b/a) x = b/a - c/a

    x^2 + 2 (b/a) x + (b/a) ^2 = b/a - c/a + (b/a) ^2

    (x + b/a) ^2 = b/a - c/a + (b/a) ^2

    p = - b/a

    q = b/a - c/a + (b/a) ^2
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