-12x2 +18x +12 = 0
ax2 bx c = 0
a = -12
b = 18
c = 12
Δ = b2-4ac
Δ = 18² - (4 * -12 * 12)
Δ = 324 - (4*-144)
Δ = 324 - (-576)
Δ = 900 Δ > 0
-12x2+18x+12=0
x = -b ∓ √Δ 2a
x' = -18 - √900 2*-12 = -18 - 30.0 -24 = -48.0 -24 = 2.0
x" = -18 + √900 2*-12 = -18 + 30.0 -24 = 12.0 -24 = -0.5
x' = 288.0
x" = -72.0
S = {x ∈ R / x' = 288.0, x" = -72.0 }