Question

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Answer 1

Answer:

(x - $\frac{5}{2}$ )² + $\frac{7}{4}$

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- $\frac{5}{2}$ )x + $\frac{25}{4}$ - $\frac{25}{4}$ + 8

= (x - $\frac{5}{2}$ )² - $\frac{25}{4}$ + $\frac{32}{4}$

= (x - $\frac{5}{2}$ )² + $\frac{7}{4}$