-1x2 +5x -4 = 0

ax2 bx c = 0

a = -1

b = 5

c = -4

Δ = b2-4ac

Δ = 5² - (4 * -1 * -4)

Δ = 25 - (4*4)

Δ = 25 - (16)

Δ = 9      Δ > 0

-x2+5x-4=0

x = -b ∓ √Δ 2a

x' = -5 - √9 2*-1 = -5 - 3.0 -2 = -8.0 -2 = 4.0

x" = -5 + √9 2*-1 = -5 + 3.0 -2 = -2.0 -2 = 1.0

x' = 4.0

x" = 1.0

S = {x ∈ R / x' = 4.0, x" = 1.0 }