-4x2 +14x -6 = 0
ax2 bx c = 0
a = -4
b = 14
c = -6
Δ = b2-4ac
Δ = 14² - (4 * -4 * -6)
Δ = 196 - (4*24)
Δ = 196 - (96)
Δ = 100 Δ > 0
-4x2+14x-6=0
x = -b ∓ √Δ 2a
x' = -14 - √100 2*-4 = -14 - 10.0 -8 = -24.0 -8 = 3.0
x" = -14 + √100 2*-4 = -14 + 10.0 -8 = -4.0 -8 = 0.5
x' = 48.0
x" = 8.0
S = {x ∈ R / x' = 48.0, x" = 8.0 }