-12x2 -19x +18 = 0

ax2 bx c = 0

a = -12

b = -19

c = 18

Δ = b2-4ac

Δ = -19² - (4 * -12 * 18)

Δ = 361 - (4*-216)

Δ = 361 - (-864)

Δ = 1225      Δ > 0

-12x2-19x+18=0

x = -b ∓ √Δ 2a

x' = 19 - √1225 2*-12 = 19 - 35.0 -24 = -16.0 -24 = 0.666666666667

x" = 19 + √1225 2*-12 = 19 + 35.0 -24 = 54.0 -24 = -2.25

x' = 96.0

x" = -324.0

S = {x ∈ R / x' = 96.0, x" = -324.0 }