-1x2 +5x -6 = 0

ax2 bx c = 0

a = -1

b = 5

c = -6

Δ = b2-4ac

Δ = 5² - (4 * -1 * -6)

Δ = 25 - (4*6)

Δ = 25 - (24)

Δ = 1      Δ > 0

-x2+5x-6=0

x = -b ∓ √Δ 2a

x' = -5 - √1 2*-1 = -5 - 1.0 -2 = -6.0 -2 = 3.0

x" = -5 + √1 2*-1 = -5 + 1.0 -2 = -4.0 -2 = 2.0

x' = 3.0

x" = 2.0

S = {x ∈ R / x' = 3.0, x" = 2.0 }