what number should be added to both sides of the equation to complete the square?\n$x^{2}-10x = 7$

Explanation:

Step1: Recall the formula for completing the square

For a quadratic equation of the form (x^{2}+bx = c), the number to add to both sides to complete the square is (\left(\frac{b}{2}\right)^{2}).

Step2: Identify the value of (b)

In the equation (x^{2}-10x = 7), (b=- 10).

Step3: Calculate (\left(\frac{b}{2}\right)^{2})

Substitute (b = - 10) into (\left(\frac{b}{2}\right)^{2}). We get (\left(\frac{-10}{2}\right)^{2}=(-5)^{2}=25).

Answer:

(25)