The general expression for a quadratic expression is given as
[tex]ax^2+bx+c[/tex]We compare it with
[tex]v^2+10v+\text{ \_\_\_}[/tex]We can see that the missing value is C.
C, can be gotten using the discriminant formula below.
[tex]b^2=4ac[/tex]Where b=10, a=1
We insert the above values in the discriminant.
[tex]\begin{gathered} 10^2=4\times1\times c \\ 4c=100 \\ c=\frac{100}{4} \\ c=25 \end{gathered}[/tex]Therefore, the number needed to make the expression a perfect square is 25
