Solve the following equation.
(Simplify your answer. Express complex numbers in terms of . Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
x^2 + 4 = 0
To solve the equation x^2 + 4 = 0, we can subtract 4 from both sides of the equation:
x^2 = -4.
Now, we can take the square root of both sides:
x = ±√(-4).
Since there is no real number whose square is -4, we can express the answer in terms of the imaginary unit i:
x = ±2i.
Thus, the solution to the equation x^2 + 4 = 0 is x = ±2i.