-3x2 +19x +14 = 0
ax2 bx c = 0
a = -3
b = 19
c = 14
Δ = b2-4ac
Δ = 19² - (4 * -3 * 14)
Δ = 361 - (4*-42)
Δ = 361 - (-168)
Δ = 529 Δ > 0
-3x2+19x+14=0
x = -b ∓ √Δ 2a
x' = -19 - √529 2*-3 = -19 - 23.0 -6 = -42.0 -6 = 7.0
x" = -19 + √529 2*-3 = -19 + 23.0 -6 = 4.0 -6 = -0.666666666667
x' = 63.0
x" = -6.0
S = {x ∈ R / x' = 63.0, x" = -6.0 }