-12x2 -17x -6 = 0

ax2 bx c = 0

a = -12

b = -17

c = -6

Δ = b2-4ac

Δ = -17² - (4 * -12 * -6)

Δ = 289 - (4*72)

Δ = 289 - (288)

Δ = 1      Δ > 0

-12x2-17x-6=0

x = -b ∓ √Δ 2a

x' = 17 - √1 2*-12 = 17 - 1.0 -24 = 16.0 -24 = -0.666666666667

x" = 17 + √1 2*-12 = 17 + 1.0 -24 = 18.0 -24 = -0.75

x' = -96.0

x" = -108.0

S = {x ∈ R / x' = -96.0, x" = -108.0 }