-4x2 +5x -1 = 0

ax2 bx c = 0

a = -4

b = 5

c = -1

Δ = b2-4ac

Δ = 5² - (4 * -4 * -1)

Δ = 25 - (4*4)

Δ = 25 - (16)

Δ = 9      Δ > 0

-4x2+5x-1=0

x = -b ∓ √Δ 2a

x' = -5 - √9 2*-4 = -5 - 3.0 -8 = -8.0 -8 = 1.0

x" = -5 + √9 2*-4 = -5 + 3.0 -8 = -2.0 -8 = 0.25

x' = 16.0

x" = 4.0

S = {x ∈ R / x' = 16.0, x" = 4.0 }