-12x2 -x +1 = 0

ax2 bx c = 0

a = -12

b = -1

c = 1

Δ = b2-4ac

Δ = -² - (4 * -12 * 1)

Δ = 1 - (4*-12)

Δ = 1 - (-48)

Δ = 49      Δ > 0

-12x2-x+1=0

x = -b ∓ √Δ 2a

x' = 1 - √49 2*-12 = 1 - 7.0 -24 = -6.0 -24 = 0.25

x" = 1 + √49 2*-12 = 1 + 7.0 -24 = 8.0 -24 = -0.333333333333

x' = 36.0

x" = -48.0

S = {x ∈ R / x' = 36.0, x" = -48.0 }