To complete the square for the equation [tex]\( x^2 - 10x = 7 \)[/tex], follow these steps:
1. Identify the coefficient of [tex]\( x \)[/tex]: The coefficient of [tex]\( x \)[/tex] in the given equation is [tex]\(-10\)[/tex].
2. Take half of this coefficient:
[tex]\[
\text{Half of } -10 \text{ is } \frac{-10}{2} = -5.0
\][/tex]
3. Square the result of step 2:
[tex]\[
(-5.0)^2 = 25.0
\][/tex]
The number that should be added to both sides of the equation to complete the square is [tex]\( 25.0 \)[/tex].
