-12x2 +21x -9 = 0

ax2 bx c = 0

a = -12

b = 21

c = -9

Δ = b2-4ac

Δ = 21² - (4 * -12 * -9)

Δ = 441 - (4*108)

Δ = 441 - (432)

Δ = 9      Δ > 0

-12x2+21x-9=0

x = -b ∓ √Δ 2a

x' = -21 - √9 2*-12 = -21 - 3.0 -24 = -24.0 -24 = 1.0

x" = -21 + √9 2*-12 = -21 + 3.0 -24 = -18.0 -24 = 0.75

x' = 144.0

x" = 108.0

S = {x ∈ R / x' = 144.0, x" = 108.0 }