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First consider a geometric illustration of completing the square for x 2 + 2 x. Area = x 2. x. 1 square unit x square units. + x. + x. = x 2 + 2 x. Complete the square by clicking ‘Enter’ once. x. 1 square unit x square units. Area = ( x + 1) 2. x + 1. x + 1.
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First consider a geometric illustration of completing the square for x2 + 2x
Area = x2 x 1 square unit x square units + x + x = x2 + 2x
Complete the square by clicking ‘Enter’ once. x 1 square unit x square units
Area = (x + 1)2 x + 1 x + 1 1 square unit x square units
(x + 1)2 1 x2 + 2x 1 square unit x square units + = x2 + 2x + 1 = (x + 1)2
1 square unit x square units Area = x2 + x + x + x = x2 + 3x x
x + 1.5 1 square unit x square units 0.5x square units x
x + 1.5 1.5 1 square unit x square units 0.5x square units x 2.25
x + 1.5 1.5 1 square unit x square units 0.5x square units Area= x2 + 3x + 2.25 Area = (x + 1.5)2 x
(x + 1.5)2 2.25 x2 + 3x + = x2 + 3x + 2.25 = (x + 1.5)2