Answer:
Option D is correct.
1/4 completes the square.
Step-by-step explanation:
To complete the square for a quadratic function, we require a third term that will enable the solutions of the quadrstic equation to be 2 repeated roots.
For that to be so for the quadratic equation
ax² + bx + c = 0,
b² has to be equal to 4ac
For this question, x² - x + c
From b² = 4ac
c = (b²/4a)
a = 1
b = -1, b² = 1
c = ?
c = (1/4)
Hence, (1/4) is the number that must be added to the expression to complete the square.
Hope this Helps!!!
