Which of the following is the result of the equation below after completing
the square and factoring?

Answer:
C
Step-by-step explanation:
[tex] {x}^{2} + 5x + 8 = 4 \\ = > {x}^{2} + 2 \times \frac{5}{2} \times x + \frac{25}{4} + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) + \frac{7}{4} = 4 \\ = > ({x + \frac{5}{2} }^{2} ) = \frac{9}{4} [/tex]