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X2 - 8X = 3

halve the linear term (- 8 ), square it and add it to both sides

X2 - 8X + 16 = 3 + 16

factor left, gather terms right

(X - 4)2 = 19

(X - 4)2 - 19 = 0

-------------------------

(4, - 19)

----------------the vertex

16 is the number that needed to be added to both sides to complete the square

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13y ago

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