16x3-6x-1=0

Question

16x3-6x-1=0

Answer 1

16*X³ - 6*X - 1 = (16*X³ + 8*X²) - (8*X² + 6*X + 1) = 8*X²*(2*X+1) - (2*X+1)*(4*X+1) =

= (2*X + 1) * (8*X² - 4*X - 1)

X₁ = - 1/2     X₂₃ = (1 ± √3)/4