-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 = 49      Δ > 0

-x2-5x+6=0

x = -b ∓ √Δ 2a

x' = 5 - √49 2*-1 = 5 - 7.0 -2 = -2.0 -2 = 1.0

x" = 5 + √49 2*-1 = 5 + 7.0 -2 = 12.0 -2 = -6.0

x' = 1.0

x" = -6.0

S = {x ∈ R / x' = 1.0, x" = -6.0 }