-4x2 +2x +12 = 0
ax2 bx c = 0
a = -4
b = 2
c = 12
Δ = b2-4ac
Δ = 2² - (4 * -4 * 12)
Δ = 4 - (4*-48)
Δ = 4 - (-192)
Δ = 196 Δ > 0
-4x2+2x+12=0
x = -b ∓ √Δ 2a
x' = -2 - √196 2*-4 = -2 - 14.0 -8 = -16.0 -8 = 2.0
x" = -2 + √196 2*-4 = -2 + 14.0 -8 = 12.0 -8 = -1.5
x' = 32.0
x" = -24.0
S = {x ∈ R / x' = 32.0, x" = -24.0 }