-1x2 +4x -3 = 0

ax2 bx c = 0

a = -1

b = 4

c = -3

Δ = b2-4ac

Δ = 4² - (4 * -1 * -3)

Δ = 16 - (4*3)

Δ = 16 - (12)

Δ = 4      Δ > 0

-x2+4x-3=0

x = -b ∓ √Δ 2a

x' = -4 - √4 2*-1 = -4 - 2.0 -2 = -6.0 -2 = 3.0

x" = -4 + √4 2*-1 = -4 + 2.0 -2 = -2.0 -2 = 1.0

x' = 3.0

x" = 1.0

S = {x ∈ R / x' = 3.0, x" = 1.0 }