Show that the equation x9-5x5+4x4+2x2+1=0 has atleast 6 imaginary solutions.

Show that the equation $x^{9} - 5 x^{5} + 4 x^{4} + 2 x^{2} + 1 = 0$ has atleast 6 imaginary solutions.

Matching exercise

Match the items on the right to the items on the left.

Step - 1

Step - 2

Step - 3