Answer:
x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
Step-by-step explanation:
Solve for x:
x^2 + 4 x = 4
Add 4 to both sides:
x^2 + 4 x + 4 = 8
Write the left hand side as a square:
(x + 2)^2 = 8
Take the square root of both sides:
x + 2 = 2 sqrt(2) or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
x = 2 sqrt(2) - 2 or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
Answer: x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
