-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 = -26.0 -12 = 2.16666666667

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

x' = 78.0

x" = 36.0

S = {x ∈ R / x' = 78.0, x" = 36.0 }