Question

fill in the blank 2.5 points
solve the equation:
x² + 4 = 0
{ type your answer... }
give the solution as an integer if possible, or in radical form. if no solution, write dne.
to enter a radical answer like 5√2 type 5sqrt(2).
enter your answer with \and\ in between. for example, -3 and 3 or 5sqrt(2) and -5sqrt(2)
previous
desk 1

Explanation:

Step1: Isolate \(x^2\)

Subtract 4 from both sides: \(x^2 = -4\)

Step2: Solve for \(x\)

Take square roots: \(x = \pm\sqrt{-4}\)
Simplify \(\sqrt{-4}\) as \(2i\) (since \(i = \sqrt{-1}\)): \(x = 2i\) and \(x = -2i\)

Answer:

2i and -2i