Solve the equation. (Enter your answers as a comma-separated list. Do not use cis form.)x4 + 81 = 0

The given equation is x^4 + 81 = 0.

Step 1: We can rewrite the equation as x^4 = -81.

Step 2: Taking the fourth root on both sides, we get x = ±√4√(-81).

Step 3: We know that √(-1) = i (imaginary unit), so we can rewrite the equation as x = ±√4√(-1*81) = ±√4√(81)i.

Step 4: Simplifying further, we get x = ±2√81i = ±2*9i = ±18i.

So, the solutions to the equation are x = 18i and x = -18i.

The given equation is x^4 + 81 = 0.

Step 1: We can rewrite the equation as x^4 = -81.

Step 2: Taking the fourth root on both sides, we get x = ± √4√(-81).

Step 3: We know that √(-1) = i (imaginary unit), so we can rewrite the equation as x = ± √4√(-1*81) = ± √4√(81i^2).

Step 4: Simplifying further, we get x = ± √49i = ± 23i = ± 6i.

So, the solutions to the equation are x = 6i and x = -6i.

The given equation is x^4 + 81 = 0.

Step 1: We can rewrite the equation as x^4 = -81.

Step 2: Taking the fourth root on both sides, we get x = ±√4√(-81).

Step 3: We know that √(-1) = i (imaginary unit), so we can rewrite the equation as x = ±√4√(-1*81) = ±√4√81 * i.

Step 4: Simplifying further, we get x = ±2√81 * i = ±2*9i = ±18i.

So, the solutions to the equation are x = 18i, -18i.