-4x2 -2x +6 = 0
ax2 bx c = 0
a = -4
b = -2
c = 6
Δ = b2-4ac
Δ = -2² - (4 * -4 * 6)
Δ = 4 - (4*-24)
Δ = 4 - (-96)
Δ = 100 Δ > 0
-4x2-2x+6=0
x = -b ∓ √Δ 2a
x' = 2 - √100 2*-4 = 2 - 10.0 -8 = -8.0 -8 = 1.0
x" = 2 + √100 2*-4 = 2 + 10.0 -8 = 12.0 -8 = -1.5
x' = 16.0
x" = -24.0
S = {x ∈ R / x' = 16.0, x" = -24.0 }