-6x2 -19x -13 = 0

ax2 bx c = 0

a = -6

b = -19

c = -13

Δ = b2-4ac

Δ = -19² - (4 * -6 * -13)

Δ = 361 - (4*78)

Δ = 361 - (312)

Δ = 49      Δ > 0

-6x2-19x-13=0

x = -b ∓ √Δ 2a

x' = 19 - √49 2*-6 = 19 - 7.0 -12 = 12.0 -12 = -1.0

x" = 19 + √49 2*-6 = 19 + 7.0 -12 = 26.0 -12 = -2.16666666667

x' = -36.0

x" = -78.0

S = {x ∈ R / x' = -36.0, x" = -78.0 }