-4x2 +12x -8 = 0

ax2 bx c = 0

a = -4

b = 12

c = -8

Δ = b2-4ac

Δ = 12² - (4 * -4 * -8)

Δ = 144 - (4*32)

Δ = 144 - (128)

Δ = 16      Δ > 0

-4x2+12x-8=0

x = -b ∓ √Δ 2a

x' = -12 - √16 2*-4 = -12 - 4.0 -8 = -16.0 -8 = 2.0

x" = -12 + √16 2*-4 = -12 + 4.0 -8 = -8.0 -8 = 1.0

x' = 32.0

x" = 16.0

S = {x ∈ R / x' = 32.0, x" = 16.0 }