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Algebra Tiles – Completing the Square Visual Representation
Use algebra tiles to complete the square for the equation: x 2 + 6x + 2 = 0 x2x2 x 1 xxxxx 1 =
Step 1: Subtract 2 from each side to model x 2 + 6x = -2 x2x2 xxxxxx 1 = 1
Step 2: Begin to arrange the x2 and x tiles into a square x2x2 11 = xxx x x x
x2x2 11 = xxx x x x Step 3: Add enough 1s to complete the square Then, add the same number to the other side
x2x2 11 = xxx x x x Step 4: remove zero pairs
x2x2 = xxx x x x New equation: x 2 + 6x +9 = 7
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