To complete the square for the equation \( x^2 - 6x = 5 \), follow these steps:
1. Identify the coefficient of \( x \): Here, the coefficient of \( x \) is \(-6\).
2. Divide the coefficient of \( x \) by 2:
[tex]\[
-6 \div 2 = -3
\][/tex]
3. Square the result from step 2:
[tex]\[
(-3)^2 = 9
\][/tex]
4. Add this squared value to both sides of the equation:
[tex]\[
x^2 - 6x + 9 = 5 + 9
\][/tex]
Thus, the number that should be added to both sides of the equation to complete the square is [tex]\( 9 \)[/tex].
