-4x2 -19x -12 = 0

ax2 bx c = 0

a = -4

b = -19

c = -12

Δ = b2-4ac

Δ = -19² - (4 * -4 * -12)

Δ = 361 - (4*48)

Δ = 361 - (192)

Δ = 169      Δ > 0

-4x2-19x-12=0

x = -b ∓ √Δ 2a

x' = 19 - √169 2*-4 = 19 - 13.0 -8 = 6.0 -8 = -0.75

x" = 19 + √169 2*-4 = 19 + 13.0 -8 = 32.0 -8 = -4.0

x' = -12.0

x" = -64.0

S = {x ∈ R / x' = -12.0, x" = -64.0 }