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Consider the general quadratic equation ax^2 + bx + c = 0, where a is not equal to 0. Solve for x by completing the square.

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2 answers
  1. ax^2 + bx + c = 0
    a(x^2 + b/a x) = -c
    a(x^2 + b/a x + (b/2a)^2) = -c + a(b/2a)^2
    a(x + b/2a)^2 = b^2/4a - c
    (x + b/2a)^2 = (b^2-4ac)/4a^2
    x + b/2a = ±√(b^2-4ac)/2a
    x = (-b±√(b^2-4ac))/2a

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  2. Thank you so very much

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