what number should be added to both sides of the equation to complete the square?\n$x^{2}+12x = 11$

Explanation:

Step1: Identify the coefficient of x

The coefficient of $x$ in the equation $x^{2}+12x = 11$ is $12$.

Step2: Apply the formula for completing the square

For the quadratic expression $x^{2}+bx$, the number to add to complete the square is $(\frac{b}{2})^{2}$. Here $b = 12$, so $(\frac{12}{2})^{2}=6^{2}=36$.

Answer:

36