-6x2 +11x +17 = 0
ax2 bx c = 0
a = -6
b = 11
c = 17
Δ = b2-4ac
Δ = 11² - (4 * -6 * 17)
Δ = 121 - (4*-102)
Δ = 121 - (-408)
Δ = 529 Δ > 0
-6x2+11x+17=0
x = -b ∓ √Δ 2a
x' = -11 - √529 2*-6 = -11 - 23.0 -12 = -34.0 -12 = 2.83333333333
x" = -11 + √529 2*-6 = -11 + 23.0 -12 = 12.0 -12 = -1.0
x' = 102.0
x" = -36.0
S = {x ∈ R / x' = 102.0, x" = -36.0 }