-4x2 +6x -2 = 0

ax2 bx c = 0

a = -4

b = 6

c = -2

Δ = b2-4ac

Δ = 6² - (4 * -4 * -2)

Δ = 36 - (4*8)

Δ = 36 - (32)

Δ = 4      Δ > 0

-4x2+6x-2=0

x = -b ∓ √Δ 2a

x' = -6 - √4 2*-4 = -6 - 2.0 -8 = -8.0 -8 = 1.0

x" = -6 + √4 2*-4 = -6 + 2.0 -8 = -4.0 -8 = 0.5

x' = 16.0

x" = 8.0

S = {x ∈ R / x' = 16.0, x" = 8.0 }