What number must be added to the expression below to complete the square?

x^2 - x

a. 1/2
b. -1/4
c. -1/2
d. 1/4

D. 1/4

Explanation:

a perfect square is written in the form

(1)

In our problem, we have this perfect square:

(2)

with C being unknown. However, by comparing (1) and (2), we know that

So, we find

and therefore, the missing term must be

so the complete square is

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step-by-step explanation: