Answer:
x = √(10) - 2, -√(10) - 2
Step-by-step explanation:
x² + 4x + 4 = 10
factor:
(x + 2)² = 10
take square root of both sides:
x + 2 = ±√(10)
split into 2 equations:
x + 2 = √(10) x + 2 = -√(10)
solve both equations and collect solutions:
x = √(10) - 2, -√(10) - 2