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First consider a geometric illustration of completing the square for x 2 + 2 x

Learn about completing the square for x^2 + 3x and x^2 + 2x using interactive geometric illustrations. Understand the concept step by step.

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First consider a geometric illustration of completing the square for x 2 + 2 x

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  1. First consider a geometric illustration of completing the square for x2 + 2x

  2. Area = x2 x 1 square unit x square units + x + x = x2 + 2x

  3. Complete the square by clicking ‘Enter’ once. x 1 square unit x square units

  4. Area = (x + 1)2 x + 1 x + 1 1 square unit x square units

  5. (x + 1)2 1 x2 + 2x 1 square unit x square units + = x2 + 2x + 1 = (x + 1)2

  6. Consider completing the square for x2 + 3x

  7. 1 square unit x square units Area = x2 + x + x + x = x2 + 3x x

  8. x + 1.5 1 square unit x square units 0.5x square units x

  9. x + 1.5 1.5 1 square unit x square units 0.5x square units x 2.25

  10. 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

  11. (x + 1.5)2 2.25 x2 + 3x + = x2 + 3x + 2.25 = (x + 1.5)2

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