-6x2 +19x -14 = 0
ax2 bx c = 0
a = -6
b = 19
c = -14
Δ = b2-4ac
Δ = 19² - (4 * -6 * -14)
Δ = 361 - (4*84)
Δ = 361 - (336)
Δ = 25 Δ > 0
-6x2+19x-14=0
x = -b ∓ √Δ 2a
x' = -19 - √25 2*-6 = -19 - 5.0 -12 = -24.0 -12 = 2.0
x" = -19 + √25 2*-6 = -19 + 5.0 -12 = -14.0 -12 = 1.16666666667
x' = 72.0
x" = 42.0
S = {x ∈ R / x' = 72.0, x" = 42.0 }