Answer:
x = -1 ± √17
Step-by-step explanation:
x² + 2x + 1 = 17
Subtract 1 form both sides
x² + 2x = 16
complete the square using half the x coefficent, 1) as the complete the square term
(x + 1)² = 16 + 1²
(x + 1)² = 17
Take the square root of both sides
x + 1 = ±√17
Subtract 1 from bot sides
x = -1 ± √17
