Question

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

x² - 11x

a) -11
b) 121/4
c) 11/2
d) 121/4

Answer 1

To complete the square, the number that needs to be added to x² - 11x is 121/4.

Step-by-step explanation:

To complete the square in the expression x² - 11x, we need to add a specific value that makes the expression a perfect square trinomial.

To find this value, we take half of the coefficient of x (which is -11) and square it. Half of -11 is -11/2, and (-11/2)² is 121/4.

Therefore, the number that needs to be added to x² - 11x to complete the square is 121/4.