Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)

x4 + 27x = 0

1 answer

x^4 + 27x = 0
x(x^3+27) = 0
recall your sum-of-cubes factoring to get
x(x+3)(x^2-3x+9)
two real roots, two complex roots