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Mathematics 24 Online
OpenStudy (anonymous):

what value completes the square for the expression? x^2-16x

OpenStudy (anonymous):

@Jhannybean She has a PhD in completing the square

OpenStudy (anonymous):

(x-8)^2 this you asking ? x^2 -16x +64

OpenStudy (anonymous):

I got the answer -64? is that correct, I also thought it was 32. I have no idea

OpenStudy (anonymous):

\[x^2-16x \implies (x-8)^2-64\]

OpenStudy (jhannybean):

\[\color{red}{x^2-16x}\]\[c=\left(\frac{-16}{2}\right)^2 = (-8)^2 = 64\]\[\implies (x^2 -16x+64)+0\]\[\implies (x-8)^2 +0-64\]\[\implies (x-8)^2-64\]

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