-12x2 +6x +18 = 0

ax2 bx c = 0

a = -12

b = 6

c = 18

Δ = b2-4ac

Δ = 6² - (4 * -12 * 18)

Δ = 36 - (4*-216)

Δ = 36 - (-864)

Δ = 900      Δ > 0

-12x2+6x+18=0

x = -b ∓ √Δ 2a

x' = -6 - √900 2*-12 = -6 - 30.0 -24 = -36.0 -24 = 1.5

x" = -6 + √900 2*-12 = -6 + 30.0 -24 = 24.0 -24 = -1.0

x' = 216.0

x" = -144.0

S = {x ∈ R / x' = 216.0, x" = -144.0 }