Question

Fill in the blank with a number to make the expression a perfect square. V^2 + 10v + ___

Answer 1

The general expression for a quadratic expression is given as

$ax^2+bx+c$

We compare it with

$v^2+10v+\text{ \_\_\_}$

We can see that the missing value is C.

C, can be gotten using the discriminant formula below.

$b^2=4ac$

Where b=10, a=1

We insert the above values in the discriminant.

$\begin{gathered} 10^2=4\times1\times c \\ 4c=100 \\ c=\frac{100}{4} \\ c=25 \end{gathered}$

Therefore, the number needed to make the expression a perfect square is 25