Answer:
x^2 - 10x + 25 = 17
Explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17