-4x2 -8x +12 = 0

ax2 bx c = 0

a = -4

b = -8

c = 12

Δ = b2-4ac

Δ = -8² - (4 * -4 * 12)

Δ = 64 - (4*-48)

Δ = 64 - (-192)

Δ = 256      Δ > 0

-4x2-8x+12=0

x = -b ∓ √Δ 2a

x' = 8 - √256 2*-4 = 8 - 16.0 -8 = -8.0 -8 = 1.0

x" = 8 + √256 2*-4 = 8 + 16.0 -8 = 24.0 -8 = -3.0

x' = 16.0

x" = -48.0

S = {x ∈ R / x' = 16.0, x" = -48.0 }