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Minimum and maximum values in quadratic expressions part one, featuring Amy, Tangle, Rouge, Blaze, Sally and Marine



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  • View Count:339
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 05:13

Minimum and maximum values in quadratic expressions part one, featuring Amy, Tangle, Rouge, Blaze, Sally and Marine



Factorize (4x² - 12x + 9) by completing the square and find its minimum value and the x-value where the minimum value occurs.

4x² - 12x + 9 = (2x - 3)²

4x² - 12x + 9 >= 0

(2x - 3)² >= 0

minimum value = 0 

(2x - 3)² = 0

x = 3 / 2

 

Factorize (4x² - 20x + 25) by completing the square and find its minimum value and the x-value where the minimum value occurs.

4x² - 20x + 25 = (2x - 5)²

4x² - 20x + 25 >= 0

(2x - 5)² >= 0

minimum value = 0 

(2x - 5)² = 0

x = 5 / 2

 

Factorize (9x² - 30x + 25) by completing the square and find its minimum value and the x-value where the minimum value occurs.

9x² - 30x + 25 = (3x - 5)²

9x² - 30x + 25 >= 0

(3x - 5)² >= 0

minimum value = 0 

(3x - 5)² = 0

x = 5 / 3


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0 user (users) favorited this work
  • View Count:339
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 05:13