the Minimum value of |x2-5x+21| i
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Given : |x2-5x+21|
To find : Minimum Value
Solution:
| x² - 5x + 21 |
= | (x - 5/2)² - (5/2)² + 21 |
= | (x - 5/2)² - 25/4 + 21 |
= | (x - 5/2)² + 59/4 |
(x - 5/2)² minimum value is 0
Hence 0 + 59/4
= 59/4 is the minimum value of | x² - 5x + 21 |
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