Answer:
D.
Step-by-step explanation:
[tex]x^2-10x-2=17[/tex]
Add 2 to both sides:
[tex]x^2-10x-2+2=17+2[/tex]
[tex]x^2-10x=19[/tex]
Add half of the coefficient of the x, squared to both sides:
[tex]x^2-10x+\left(-5\right)^2=19+\left(-5\right)^2[/tex]
Simplify:
[tex]x^2-10x+\left(-5\right)^2=44[/tex]
Complete the square:
[tex]\left(x-5\right)^2=44[/tex]
[tex]x-5=\sqrt[]{44}[/tex] or [tex]x-5=-\sqrt[]{44}[/tex]
[tex]x=\sqrt{44} +5[/tex] or [tex]x=-\sqrt{44} +5[/tex]
