-4x2 -11x -6 = 0

ax2 bx c = 0

a = -4

b = -11

c = -6

Δ = b2-4ac

Δ = -11² - (4 * -4 * -6)

Δ = 121 - (4*24)

Δ = 121 - (96)

Δ = 25      Δ > 0

-4x2-11x-6=0

x = -b ∓ √Δ 2a

x' = 11 - √25 2*-4 = 11 - 5.0 -8 = 6.0 -8 = -0.75

x" = 11 + √25 2*-4 = 11 + 5.0 -8 = 16.0 -8 = -2.0

x' = -12.0

x" = -32.0

S = {x ∈ R / x' = -12.0, x" = -32.0 }