Answer:
x = 2 ± i
Step-by-step explanation:
1. Identify the coefficient of x. Here that coefficient is -4.
2. Take half of this coefficient, obtaining -2.
3. Square this result, obtaining 4
4. Now add 4 to both sides of the given equation:
x^2 - 4x + 4 + 5 = 4
5. Rewrite the perfect square x^2 - 4x + 4 as the binomial (x - 2)^2:
(x - 2)^2 = -1
6. Take the square root of both sides:
x - 2 = ±√(-1) = ±i
7. Solve for x: x = 2 ±i
