-12x2 +7x +19 = 0

ax2 bx c = 0

a = -12

b = 7

c = 19

Δ = b2-4ac

Δ = 7² - (4 * -12 * 19)

Δ = 49 - (4*-228)

Δ = 49 - (-912)

Δ = 961      Δ > 0

-12x2+7x+19=0

x = -b ∓ √Δ 2a

x' = -7 - √961 2*-12 = -7 - 31.0 -24 = -38.0 -24 = 1.58333333333

x" = -7 + √961 2*-12 = -7 + 31.0 -24 = 24.0 -24 = -1.0

x' = 228.0

x" = -144.0

S = {x ∈ R / x' = 228.0, x" = -144.0 }