Please complete the square, show your work. x^2 – 19x +c

Question

Please complete the square, show your work.
x^2 – 19x +c

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Ben Gia 4 months 2021-07-26T01:47:04+00:00 1 Answers 2 views 0

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    2021-07-26T01:48:32+00:00

    Answer:

    Step-by-step explanation:

    We need to transform the given x^2 – 19x + c into the form

                                                          (x – a)^2 + d

    by completing the square:

    1.  Take half of the coefficient (-19) of x, obtaining -19/2.

    2.  Square this result, obtaining 361/4.

    3.  Add this to x^2 – 19x, and then immediately subtract it:

        x^2 – 19x + c becomes x^2 – 19x + 361/4 – 361/4+ c

    4.  Replace the first three terms with (x – 19/2)^2:

         x^2 – 19x + 361/4 – 361/4+ c  =>  (x – 19/2)^2 – 361/4 + c

    5.  Put this into final form: (x – 19/2)^2 – (361/4 – c)

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )