The Greeks had a method of completing the square geometrically in which they literally changed a figure
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The Greeks had a method of completing the square geometrically in which they literally changed a figure into a square. For example, to complete the square for x2 + 6x, we begin with a square of side x, as in the figure on the top. We add three rectangles of width 1 to the right side and the bottom to get a region with area x2 + 6x. To fill in the corner (complete the square), we must add nine 1-by-1 squares as shown.
What is the total area of the small squares?
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Related Book For 
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
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