Answer :

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].