what number should be added to both sides of the equation to complete the square?\n$x^{2}-6x = 5$

Explanation:

Step1: Identify the coefficient of x

The coefficient of $x$ in the equation $x^{2}-6x = 5$ is $-6$.

Step2: Apply the completing - the - square formula

For the quadratic expression $x^{2}+bx$, to complete the square, we add $\left(\frac{b}{2}\right)^{2}$. Here $b=-6$, so $\left(\frac{-6}{2}\right)^{2}=(- 3)^{2}=9$.

Answer:

9