Question

What number must you add to complete the square?x² + xA.1/2B.1C.2D.1/4

Answer 1

The Solution:

The correct answer is [option D]

Given:

`x^2+x`

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.

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

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