Question

What number must add to the expression below to complete the square x^2-x

A.-1/2
B. 1/2
C. -1/4
D. 1/4

Answer 1

Option D is correct.

1/4 completes the square.

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!!!