-6x2 -3x +9 = 0
ax2 bx c = 0
a = -6
b = -3
c = 9
Δ = b2-4ac
Δ = -3² - (4 * -6 * 9)
Δ = 9 - (4*-54)
Δ = 9 - (-216)
Δ = 225 Δ > 0
-6x2-3x+9=0
x = -b ∓ √Δ 2a
x' = 3 - √225 2*-6 = 3 - 15.0 -12 = -12.0 -12 = 1.0
x" = 3 + √225 2*-6 = 3 + 15.0 -12 = 18.0 -12 = -1.5
x' = 36.0
x" = -54.0
S = {x ∈ R / x' = 36.0, x" = -54.0 }