*ANSWER:*
I think the answer is Option (B)
Step-by-step explanation:
..........
Answer:
x = 5 ± [tex]\sqrt{44}[/tex]
Step-by-step explanation:
Given
x² - 10x - 2 = 17 ( add 2 to both sides )
x² - 10x = 19
To complete the square
add ( half the coefficient 0f the x- term )² to both sides
x² + 2(- 5)x + 25 = 19 + 25
(x - 5)² = 44 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{44[/tex] ( add 5 to both sides )
x = 5 ± [tex]\sqrt{44}[/tex]
Then solutions are
x = 5 - [tex]\sqrt{44}[/tex] , x = 5 + [tex]\sqrt{44}[/tex]
