Answer:
[tex] {(x + 14)}^{2} = 2.5[/tex]
Step-by-step explanation:
It can be rewritten only in the form of (x + p)^2 = q and not in (x-p)^2 = q because middle term of the given quadratic equation is positive.
[tex] {x}^{2} + 28x + 193.5 = 0 \\ \\ {x}^{2} + 28x = - 193.5 \\ \\ {x}^{2} + 2 \times x \times 14 + {(14)}^{2} = {(14)}^{2} - 193.5 \\ \\ (x + 14)^{2} = 196 - 193.5 \\ \\ {(x + 14)}^{2} = 2.5[/tex]
