Quadratic Function: Completing The Square | Derivation

    In the previous post, we have proven the equation that is responsible for the method of completing the square in a quadratic function. The equation that we have proven previously is 
----------------------------------------------- (1)
                    where k is a non-zero arbitrary constant.

    Now, what will happen to equation (1) if the constant, k has a positive value? What if the constant, k has a negative value? Let us try to find it out.

    (A) Positive Value of the Constant, k
    
    (B) Negative Value of the Constant, k



    Hence, we have derived the two equations which is normally used for the method of completing the square in an quadratic function.

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