DanB358366 DanB358366
  • 03-11-2022
  • Mathematics
contestada

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

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JerardT5927 JerardT5927
  • 03-11-2022

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

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