-1x2 +9x -18 = 0

ax2 bx c = 0

a = -1

b = 9

c = -18

Δ = b2-4ac

Δ = 9² - (4 * -1 * -18)

Δ = 81 - (4*18)

Δ = 81 - (72)

Δ = 9      Δ > 0

-x2+9x-18=0

x = -b ∓ √Δ 2a

x' = -9 - √9 2*-1 = -9 - 3.0 -2 = -12.0 -2 = 6.0

x" = -9 + √9 2*-1 = -9 + 3.0 -2 = -6.0 -2 = 3.0

x' = 6.0

x" = 3.0

S = {x ∈ R / x' = 6.0, x" = 3.0 }