Answer :
Answer:
C) 7
Step-by-step explanation:
Quadratic equation
The quadratic equation can be written in several ways, one of the most-used is
[tex]ax^2+bx+c=0[/tex]
To rewrite the equation in the form
[tex](x-p)^2=q[/tex]
we can complete squares and rearrange the terms as follows. The provided equation is
[tex]x^2+18x+74=0[/tex]
The second term can be seen as
[tex]2(x)(9)[/tex]
And the first two terms can be visualized as the square of a binomial
[tex]x^2+2(x)(9)+81-81+74=0[/tex]
We have added and subtracted 81 to complete the square and not modify the equation. The new form of the equation is
[tex](x+9)^2-7=0[/tex]
Rearranging
[tex](x+9)^2=7[/tex]
Comparing with the general form written above, we find that
[tex]\boxed{q=7}[/tex]