Wiat number should be added to both sides of the equation to complete the square? X^2+x=11

add 1/4 to each side

Step-by-step explanation:

x^2+x=11

We take the coefficient of the x term

1

Then divide it by 2

1/2

Then square it

(1/2) ^2 = 1/4

Add this to both sides of the equation

x^2 + x + 1/4 = 11+1/4

(x+1/2) ^2 = 11 1/4

0.25.

Step-by-step explanation:

x^2 + x = 11

(x + 0.5) ^2 - 0.25 = 11

(x + 0.5) ^2 - 0.25 + 0.25 = 11 + 0.25

(x + 0.5) ^2 = 11.25.