Question

Solve for x: x^19 − 2x^18 + 7x^17 − 12x^6 + 6x^15 = 0

A) 0,1, +/-6i

B) -1,0, +/-√6i

C)-1, 0, +/-6i

D) 0,1, +/-√6i

Answer 1

It looks like you intend
  x¹⁹ -2x¹⁸ +7x¹⁷ -12x¹⁶ +6x¹⁵ = 0
  x¹⁵(x -1)²(x² +6) = 0

x = 0, 1, ±(√6)i . . . . . . . selection D is appropriate