Respuesta :

The Solution:

The correct answer is [option D]

Given:

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

We are asked to find what must be added to make the given expression a perfect square.

Step 1:

Divide the coefficient of x by 2.

Square the result to get the required solution.

[tex]\begin{gathered} \text{ The coefficient of x is 1.} \\ So, \\ (\frac{1}{2})^2=\frac{1}{4} \end{gathered}[/tex]

Therefore, the correct answer is 1/4 [option D]