-6x2 +21x -18 = 0

ax2 bx c = 0

a = -6

b = 21

c = -18

Δ = b2-4ac

Δ = 21² - (4 * -6 * -18)

Δ = 441 - (4*108)

Δ = 441 - (432)

Δ = 9      Δ > 0

-6x2+21x-18=0

x = -b ∓ √Δ 2a

x' = -21 - √9 2*-6 = -21 - 3.0 -12 = -24.0 -12 = 2.0

x" = -21 + √9 2*-6 = -21 + 3.0 -12 = -18.0 -12 = 1.5

x' = 72.0

x" = 54.0

S = {x ∈ R / x' = 72.0, x" = 54.0 }