Answer:
x = i sqrt(7) - 1 or x = -i sqrt(7) - 1
Explanation:
Solve for x:
x^2 + 2 x + 8 = 0
Subtract 8 from both sides:
x^2 + 2 x = -8
Add 1 to both sides:
x^2 + 2 x + 1 = -7
Write the left hand side as a square:
(x + 1)^2 = -7
Take the square root of both sides:
x + 1 = i sqrt(7) or x + 1 = -i sqrt(7)
Subtract 1 from both sides:
x = i sqrt(7) - 1 or x + 1 = -i sqrt(7)
Subtract 1 from both sides:
Answer: x = i sqrt(7) - 1 or x = -i sqrt(7) - 1