-6x2 -19x +7 = 0

ax2 bx c = 0

a = -6

b = -19

c = 7

Δ = b2-4ac

Δ = -19² - (4 * -6 * 7)

Δ = 361 - (4*-42)

Δ = 361 - (-168)

Δ = 529      Δ > 0

-6x2-19x+7=0

x = -b ∓ √Δ 2a

x' = 19 - √529 2*-6 = 19 - 23.0 -12 = -4.0 -12 = 0.333333333333

x" = 19 + √529 2*-6 = 19 + 23.0 -12 = 42.0 -12 = -3.5

x' = 12.0

x" = -126.0

S = {x ∈ R / x' = 12.0, x" = -126.0 }