Respuesta :

kudzordzifrancis

Answer:


[tex]\frac{25}{4}[/tex]


Step-by-step explanation:


The given expression is


[tex]x^2+5x[/tex]


Since the coefficient of the quadratic term is 1, you must add the square of [tex]\frac{5}{2}[/tex]


which is


[tex]=(\frac{5}{2})^2[/tex]



We square both the numerator and the denominator to obtain,


[tex]=\frac{5^2}{2^2}[/tex]




This will give us



[tex]=\frac{25}{4}[/tex]

alinakincsem

Answer:

[tex]\frac{25}{4}[/tex]

Step-by-step explanation:

We are given the following expression and we are to complete its square:

[tex]x^2+5x[/tex]

To complete the square of the above expression, we will divide the coefficient of x by 2 and add its square to the expression.

Since the coefficient of x here is 5, so we will divide it by 2 and add its square to get:

[tex]x^2+5x+(\frac{5}{2} )^2[/tex]

[tex]x^2+5x+\frac{25}{4}[/tex]

Therefore, the missing term to complete the square of the given expression is [tex]\frac{25}{4}[/tex].

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