Answer:
B
Step-by-step explanation:
Given
x² + 2x + 1 = 17 ( subtract 1 from both sides )
x² + 2x = 16
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 16 + 1
(x + 1)² = 17 ← take the square root of both sides
x + 1 = ± [tex]\sqrt{17}[/tex] ← subtract 1 from both sides
x = - 1 ± [tex]\sqrt{17}[/tex]
