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*1* c \\ 4c=100 \\ c=(100)/(4) \\ c=25 \end{gathered}`

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