X*-x+1=0 what is x^=?

note : * = 2

^=9

X² - x + 1 = 0

x = - (-1) ± √ (-1) ² - 4 (1) (1)

2 (1)

x = 1 ± √1 - 4

2

x = 1 ± √-3

2

x = 1 ± i√3

2

x = 0.5 ± 0.5i√3

x⁹ = (0.5 + 0.5i√3) ⁹

x⁹ = (0.5 + 0.5i√3) ² (0.5 + 0.5i√3) ² (0.5 + 0.5i√3) ² (0.5 + 0.5i√3) ² (0.5 + 0.5i√3)

x⁹ = (0.25 + 0.5i√3 - 0.75) (0.25 + 0.5i√3 - 0.75) (0.25 + 0.5i√3 - 0.75) (0.25 + 0.5i√3 - 0.75) (0.5 + 0.5i√3)

x⁹ = (-0.5 + 0.5i√3) (-0.5 + 0.5i√3) (-0.5 + 0.5i√3) (-0.5 + 0.5i√3) (0.5 + 0.5i√3)

x⁹ = (0.25 - 0.5i√3 - 0.75) (0.25 - 0.5i√3 - 0.75) (0.5 + 0.5i√3)

x⁹ = (-0.5 - 0.5i√3) (-0.5 - 0.5i√3) (0.5 + 0.5i√3)

x⁹ = (0.25 + 0.5i√3 - 0.75) (0.5 + 0.5i√3)

x⁹ = (-0.5 + 0.5i√3) (0.5 + 0.5i√3)

x⁹ = - 0.25 - 0.5i√3 + 0.5i√3 - 0.75

x⁹ = - 1