-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 = -24.0 -24 = 1.0
x" = 7 + √961 2*-12 = 7 + 31.0 -24 = 38.0 -24 = -1.58333333333
x' = 144.0
x" = -228.0
S = {x ∈ R / x' = 144.0, x" = -228.0 }